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232021312103331 = 3537471619339137
BaseRepresentation
bin110100110000010110101011…
…111000110110001110100011
31010102112000120011122200200000
4310300112223320312032203
5220402414121344301311
62141245041434031043
766604662260266122
oct6460265370661643
91112460504580600
10232021312103331
1167a2475a998923
122203334bb78483
139c6069242210a
144141c6a0d7ab9
151bc5617d93056
hexd305abe363a3

232021312103331 has 96 divisors (see below), whose sum is σ = 364768802012160. Its totient is φ = 147206761261056.

The previous prime is 232021312103311. The next prime is 232021312103363. The reversal of 232021312103331 is 133301213120232.

232021312103331 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 2 + 1 + 312 + 10 + 3 + 331 = 666.

It is not a de Polignac number, because 232021312103331 - 26 = 232021312103267 is a prime.

It is a super-2 number, since 2×2320213121033312 (a number of 30 digits) contains 22 as substring.

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 = 232021312103295 and 232021312103304.

It is not an unprimeable number, because it can be changed into a prime (232021312103311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 683982595 + ... + 684321731.

It is an arithmetic number, because the mean of its divisors is an integer number (3799675020960).

Almost surely, 2232021312103331 is an apocalyptic number.

232021312103331 is a deficient number, since it is larger than the sum of its proper divisors (132747489908829).

232021312103331 is a wasteful number, since it uses less digits than its factorization.

232021312103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340855 (or 340843 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 232021312103331 its reverse (133301213120232), we get a palindrome (365322525223563).

The spelling of 232021312103331 in words is "two hundred thirty-two trillion, twenty-one billion, three hundred twelve million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 3 9 27 37 47 81 111 141 243 333 423 999 1269 1619 1739 2997 3807 4857 5217 8991 11421 14571 15651 43713 46953 59903 76093 131139 140859 179709 228279 339137 393417 422577 539127 684837 1017411 1617381 2054511 2815441 3052233 4852143 6163533 8446323 9156699 12548069 14556429 15939439 18490599 25338969 27470097 37644207 47818317 76016907 82410291 112932621 143454951 228050721 338797863 430364853 549062803 589759243 684152163 1016393589 1291094559 1647188409 1769277729 3049180767 3873283677 4941565227 5307833187 14824695681 15923499561 20315323711 25805951741 44474087043 47770498683 60945971133 77417855223 133422261129 143311496049 182837913399 232253565669 548513740197 696760697007 954820214417 1645541220591 2090282091021 2864460643251 4936623661773 6270846273063 8593381929753 25780145789259 77340437367777 232021312103331