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102352311531 = 3316723397423
BaseRepresentation
bin101111101010010101…
…1000101010011101011
3100210012002221011001000
41133110223011103223
53134104142432111
6115004153130043
710252246202421
oct1372453052353
9323162834030
10102352311531
113a453236618
1217a056b9923
139861c6c162
144d4d629111
1529e09e0c56
hex17d4ac54eb

102352311531 has 32 divisors (see below), whose sum is σ = 153197291520. Its totient is φ = 67534489152.

The previous prime is 102352311511. The next prime is 102352311541. The reversal of 102352311531 is 135113253201.

102352311531 is a `hidden beast` number, since 1 + 0 + 23 + 523 + 115 + 3 + 1 = 666.

It is not a de Polignac number, because 102352311531 - 222 = 102348117227 is a prime.

It is a super-2 number, since 2×1023523115312 (a number of 23 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 = 102352311495 and 102352311504.

It is not an unprimeable number, because it can be changed into a prime (102352311511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001886 + ... + 1099308.

It is an arithmetic number, because the mean of its divisors is an integer number (4787415360).

Almost surely, 2102352311531 is an apocalyptic number.

102352311531 is a deficient number, since it is larger than the sum of its proper divisors (50844979989).

102352311531 is a wasteful number, since it uses less digits than its factorization.

102352311531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97832 (or 97826 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 102352311531 its reverse (135113253201), we get a palindrome (237465564732).

The spelling of 102352311531 in words is "one hundred two billion, three hundred fifty-two million, three hundred eleven thousand, five hundred thirty-one".

Divisors: 1 3 9 27 167 233 501 699 1503 2097 4509 6291 38911 97423 116733 292269 350199 876807 1050597 2630421 16269641 22699559 48808923 68098677 146426769 204296031 439280307 612888093 3790826353 11372479059 34117437177 102352311531