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2232310101021 = 3271113237515149
BaseRepresentation
bin100000011111000000000…
…011001111010000011101
321220101222112021201200200
4200133000003033100131
5243033232341213041
64425301544414113
7320164503532230
oct40370003172035
97811875251620
102232310101021
11790798946110
12300778177339
13132676719300
147a089b17417
153d102c951b6
hex207c00cf41d

2232310101021 has 144 divisors (see below), whose sum is σ = 4470776668800. Its totient is φ = 1041505620480.

The previous prime is 2232310101017. The next prime is 2232310101031. The reversal of 2232310101021 is 1201010132322.

2232310101021 is a `hidden beast` number, since 2 + 232 + 310 + 101 + 0 + 21 = 666.

It is not a de Polignac number, because 2232310101021 - 22 = 2232310101017 is a prime.

It is a super-3 number, since 3×22323101010213 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232310100985 and 2232310101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232310101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4075755 + ... + 4590903.

It is an arithmetic number, because the mean of its divisors is an integer number (31047060200).

Almost surely, 22232310101021 is an apocalyptic number.

2232310101021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2232310101021 is an abundant number, since it is smaller than the sum of its proper divisors (2238466567779).

2232310101021 is a wasteful number, since it uses less digits than its factorization.

2232310101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515236 (or 515220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2232310101021 its reverse (1201010132322), we get a palindrome (3433320233343).

The spelling of 2232310101021 in words is "two trillion, two hundred thirty-two billion, three hundred ten million, one hundred one thousand, twenty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 169 231 259 273 333 407 429 481 507 693 777 819 1001 1183 1221 1287 1443 1521 1859 2331 2849 3003 3367 3549 3663 4329 5291 5577 6253 8547 9009 10101 10647 13013 15873 16731 18759 25641 30303 37037 39039 43771 47619 56277 68783 111111 117117 131313 206349 333333 393939 481481 515149 619047 1444443 1545447 3606043 4333329 4636341 5666639 6696937 10818129 16999917 19060513 20090811 32454387 39666473 46878559 50999751 57181539 60272433 73666307 87060181 118999419 133423591 140635677 171544617 209665643 220998921 247786669 261180543 356998257 400270773 421907031 515664149 609421267 628996929 662996763 743360007 783541629 957661991 1200812319 1467659501 1546992447 1734506683 1828263801 1886990787 2230080021 2725653359 2872985973 3221226697 4402978503 4640977341 5203520049 5484791403 6703633937 8176960077 8618957919 9663680091 13208935509 15610560147 19079573513 20110901811 22548586879 24530880231 28991040273 35433493667 57238720539 60332705433 67645760637 106300481001 171716161617 202937281911 248034455669 318901443003 744103367007 2232310101021