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102431512267121 = 2232511830016477
BaseRepresentation
bin10111010010100100110001…
…111001110000100101110001
3111102200100122012121210010002
4113102210301321300211301
5101411214214120021441
61001504215341115345
730401301235326242
oct2722446171604561
9442610565553102
10102431512267121
112a701a62322024
12b5a3ab6258b55
1345203337a944b
141b419d6a86cc9
15bc972a93db9b
hex5d2931e70971

102431512267121 has 8 divisors (see below), whose sum is σ = 103300770150144. Its totient is φ = 101565914418000.

The previous prime is 102431512267109. The next prime is 102431512267159. The reversal of 102431512267121 is 121762215134201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102431512267121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102431512267171) 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 7 ways as a sum of consecutive naturals, for example, 914952266 + ... + 915064211.

It is an arithmetic number, because the mean of its divisors is an integer number (12912596268768).

Almost surely, 2102431512267121 is an apocalyptic number.

It is an amenable number.

102431512267121 is a deficient number, since it is larger than the sum of its proper divisors (869257883023).

102431512267121 is a wasteful number, since it uses less digits than its factorization.

102431512267121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830016951.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 102431512267121 in words is "one hundred two trillion, four hundred thirty-one billion, five hundred twelve million, two hundred sixty-seven thousand, one hundred twenty-one".

Divisors: 1 223 251 55973 1830016477 408093674371 459334135727 102431512267121