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232312220010 = 2325131627122039
BaseRepresentation
bin1101100001011011100…
…0110010100101101010
3211012122020102112102200
43120112320302211222
512301233412020020
6254420041041030
722532625201033
oct3302670624552
9735566375380
10232312220010
118a583212362
1239034a86176
1318ba37475a0
14b35b659a8a
15609a085590
hex3616e3296a

232312220010 has 96 divisors (see below), whose sum is σ = 650879349120. Its totient is φ = 57148930944.

The previous prime is 232312219991. The next prime is 232312220017. The reversal of 232312220010 is 10022213232.

232312220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232312220017) 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 47 ways as a sum of consecutive naturals, for example, 1842571 + ... + 1964609.

It is an arithmetic number, because the mean of its divisors is an integer number (6779993220).

Almost surely, 2232312220010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232312220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325439674560).

232312220010 is an abundant number, since it is smaller than the sum of its proper divisors (418567129110).

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

232312220010 is a wasteful number, since it uses less digits than its factorization.

232312220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123692 (or 123689 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 232312220010 its reverse (10022213232), we get a palindrome (242334433242).

The spelling of 232312220010 in words is "two hundred thirty-two billion, three hundred twelve million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1627 3254 4881 8135 9762 14643 16270 21151 24405 29286 42302 48810 63453 73215 105755 122039 126906 146430 190359 211510 244078 317265 366117 380718 610195 634530 732234 951795 1098351 1220390 1586507 1830585 1903590 2196702 3173014 3661170 4759521 5491755 7932535 9519042 10983510 14278563 15865070 23797605 28557126 47595210 71392815 142785630 198557453 397114906 595672359 992787265 1191344718 1787017077 1985574530 2581246889 2978361795 3574034154 5162493778 5956723590 7743740667 8935085385 12906234445 15487481334 17870170770 23231222001 25812468890 38718703335 46462444002 77437406670 116156110005 232312220010