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102032013231 = 334399188681
BaseRepresentation
bin101111100000110010…
…1001111011110101111
3100202100210020022101000
41133001211033132233
53132430143410411
6114512312051343
710241306542221
oct1370145173657
9322323208330
10102032013231
113a2a9458785
1217936393b53
1398107b5235
144d1cc90411
1529c2822956
hex17c194f7af

102032013231 has 32 divisors (see below), whose sum is σ = 154831677440. Its totient is φ = 66371659200.

The previous prime is 102032013199. The next prime is 102032013241. The reversal of 102032013231 is 132310230201.

102032013231 is a `hidden beast` number, since 1 + 0 + 20 + 320 + 1 + 323 + 1 = 666.

It is not a de Polignac number, because 102032013231 - 25 = 102032013199 is a prime.

It is a super-2 number, since 2×1020320132312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032013241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106211 + ... + 1194891.

It is an arithmetic number, because the mean of its divisors is an integer number (4838489920).

Almost surely, 2102032013231 is an apocalyptic number.

102032013231 is a deficient number, since it is larger than the sum of its proper divisors (52799664209).

102032013231 is an equidigital number, since it uses as much as digits as its factorization.

102032013231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89724 (or 89718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102032013231 its reverse (132310230201), we get a palindrome (234342243432).

The spelling of 102032013231 in words is "one hundred two billion, thirty-two million, thirteen thousand, two hundred thirty-one".

Divisors: 1 3 9 27 43 129 387 991 1161 2973 8919 26757 42613 88681 127839 266043 383517 798129 1150551 2394387 3813283 11439849 34319547 87882871 102958641 263648613 790945839 2372837517 3778963453 11336890359 34010671077 102032013231