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102024102131 = 767216319919
BaseRepresentation
bin101111100000100011…
…1000100000011110011
3100202100020100101101022
41133001013010003303
53132421132232011
6114511430330055
710241152362620
oct1370107040363
9322306311338
10102024102131
113a2a4a44a86
12179337b992b
13980bc75403
144d1bbd1347
1529c1cad8db
hex17c11c40f3

102024102131 has 24 divisors (see below), whose sum is σ = 119097377280. Its totient is φ = 85611228912.

The previous prime is 102024102109. The next prime is 102024102197. The reversal of 102024102131 is 131201420201.

It is a de Polignac number, because none of the positive numbers 2k-102024102131 is a prime.

It is a super-2 number, since 2×1020241021312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102024102931) 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 23 ways as a sum of consecutive naturals, for example, 5111990 + ... + 5131908.

It is an arithmetic number, because the mean of its divisors is an integer number (4962390720).

Almost surely, 2102024102131 is an apocalyptic number.

102024102131 is a deficient number, since it is larger than the sum of its proper divisors (17073275149).

102024102131 is an equidigital number, since it uses as much as digits as its factorization.

102024102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20156 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 102024102131 its reverse (131201420201), we get a palindrome (233225522332).

The spelling of 102024102131 in words is "one hundred two billion, twenty-four million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 7 67 163 469 1141 4489 10921 19919 31423 76447 139433 731707 1334573 3246797 5121949 9342011 22727579 89416391 217535399 625914737 1522747793 14574871733 102024102131