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102102122031 = 37132316260889
BaseRepresentation
bin101111100010111000…
…0101011111000101111
3100202112200011012120020
41133011300223320233
53133101120401111
6114523254453223
710243120501110
oct1370560537057
9322480135506
10102102122031
113a334a93538
1217955964213
139822191430
144d28300207
1529c8a70906
hex17c5c2be2f

102102122031 has 32 divisors (see below), whose sum is σ = 174837089280. Its totient is φ = 51514493184.

The previous prime is 102102121997. The next prime is 102102122033. The reversal of 102102122031 is 130221201201.

It is not a de Polignac number, because 102102122031 - 218 = 102101859887 is a prime.

It is a super-2 number, since 2×1021021220312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102102122031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102122033) 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, 8124166 + ... + 8136723.

It is an arithmetic number, because the mean of its divisors is an integer number (5463659040).

Almost surely, 2102102122031 is an apocalyptic number.

102102122031 is a deficient number, since it is larger than the sum of its proper divisors (72734967249).

102102122031 is a wasteful number, since it uses less digits than its factorization.

102102122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16260935.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 102102122031 its reverse (130221201201), we get a palindrome (232323323232).

The spelling of 102102122031 in words is "one hundred two billion, one hundred two million, one hundred twenty-two thousand, thirty-one".

Divisors: 1 3 7 13 21 23 39 69 91 161 273 299 483 897 2093 6279 16260889 48782667 113826223 211391557 341478669 374000447 634174671 1122001341 1479740899 2618003129 4439222697 4862005811 7854009387 14586017433 34034040677 102102122031