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102131221023 = 32131934522883
BaseRepresentation
bin101111100011101111…
…1101100001000011111
3100202121200220120212200
41133013133230020133
53133131043033043
6114530214302543
710243623024606
oct1370737541037
9322550816780
10102131221023
113a34a458a97
1217963657a53
13982820c280
144d2c116a3d
1529cb3bc7d3
hex17c77ec21f

102131221023 has 24 divisors (see below), whose sum is σ = 159693988272. Its totient is φ = 62524320768.

The previous prime is 102131221021. The next prime is 102131221039. The reversal of 102131221023 is 320122131201.

It is not a de Polignac number, because 102131221023 - 21 = 102131221021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131220987 and 102131221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131221021) 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 23 ways as a sum of consecutive naturals, for example, 2238861 + ... + 2284022.

It is an arithmetic number, because the mean of its divisors is an integer number (6653916178).

Almost surely, 2102131221023 is an apocalyptic number.

102131221023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

102131221023 is a deficient number, since it is larger than the sum of its proper divisors (57562767249).

102131221023 is a wasteful number, since it uses less digits than its factorization.

102131221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523095 (or 4523092 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102131221023 its reverse (320122131201), we get a palindrome (422253352224).

The spelling of 102131221023 in words is "one hundred two billion, one hundred thirty-one million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 3 9 13 39 117 193 579 1737 2509 7527 22581 4522883 13568649 40705947 58797479 176392437 529177311 872916419 2618749257 7856247771 11347913447 34043740341 102131221023