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232002130133232 = 24339752310586071
BaseRepresentation
bin110100110000000100110100…
…100011011100000011110000
31010102110012001100101122111000
4310300010310203130003300
5220402110330303230412
62141232150205522000
766603413030241054
oct6460046443340360
91112405040348430
10232002130133232
1167a176071a4878
122202b697b73300
139c5b926370b54
144140d6a711c64
151bc4d93d614dc
hexd301348dc0f0

232002130133232 has 160 divisors (see below), whose sum is σ = 674083801986560. Its totient is φ = 76390436136960.

The previous prime is 232002130133231. The next prime is 232002130133309. The reversal of 232002130133232 is 232331031200232.

232002130133232 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 0 + 21 + 301 + 332 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 232002130133196 and 232002130133205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232002130133231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16622757 + ... + 27208827.

It is an arithmetic number, because the mean of its divisors is an integer number (4213023762416).

Almost surely, 2232002130133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232002130133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337041900993280).

232002130133232 is an abundant number, since it is smaller than the sum of its proper divisors (442081671853328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232002130133232 is a wasteful number, since it uses less digits than its factorization.

232002130133232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586708 (or 10586696 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 232002130133232 its reverse (232331031200232), we get a palindrome (464333161333464).

The spelling of 232002130133232 in words is "two hundred thirty-two trillion, two billion, one hundred thirty million, one hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 194 216 291 388 432 523 582 776 873 1046 1164 1552 1569 1746 2092 2328 2619 3138 3492 4184 4656 4707 5238 6276 6984 8368 9414 10476 12552 13968 14121 18828 20952 25104 28242 37656 41904 50731 56484 75312 101462 112968 152193 202924 225936 304386 405848 456579 608772 811696 913158 1217544 1369737 1826316 2435088 2739474 3652632 5478948 7305264 10586071 10957896 21172142 21915792 31758213 42344284 63516426 84688568 95274639 127032852 169377136 190549278 254065704 285823917 381098556 508131408 571647834 762197112 1026848887 1143295668 1524394224 2053697774 2286591336 3080546661 4107395548 4573182672 5536515133 6161093322 8214791096 9241639983 11073030266 12322186644 16429582192 16609545399 18483279966 22146060532 24644373288 27724919949 33219090798 36966559932 44292121064 49288746576 49828636197 55449839898 66438181596 73933119864 88584242128 99657272394 110899679796 132876363192 147866239728 149485908591 199314544788 221799359592 265752726384 298971817182 398629089576 443598719184 537041967901 597943634364 797258179152 1074083935802 1195887268728 1611125903703 2148167871604 2391774537456 3222251807406 4296335743208 4833377711109 6444503614812 8592671486416 9666755422218 12889007229624 14500133133327 19333510844436 25778014459248 29000266266654 38667021688872 58000532533308 77334043377744 116001065066616 232002130133232