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102334002131312 = 2472223585327641
BaseRepresentation
bin10111010001001001111101…
…110110000111000101110000
3111102100000221120002122102122
4113101021331312013011300
5101403120014021200222
61001351331440333412
730361246654003100
oct2721117566070560
9442300846078378
10102334002131312
112a6746743a7826
12b589022314268
134514093a8a833
141b3adc6599200
15bc6e200cba42
hex5d127dd87170

102334002131312 has 60 divisors (see below), whose sum is σ = 231677363324736. Its totient is φ = 43660759322880.

The previous prime is 102334002131279. The next prime is 102334002131327. The reversal of 102334002131312 is 213131200433201.

It is a happy number.

102334002131312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1023340021313122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292488989 + ... + 292838652.

Almost surely, 2102334002131312 is an apocalyptic number.

It is an amenable number.

102334002131312 is an abundant number, since it is smaller than the sum of its proper divisors (129343361193424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102334002131312 is a wasteful number, since it uses less digits than its factorization.

102334002131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585327886 (or 585327873 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 102334002131312 its reverse (213131200433201), we get a palindrome (315465202564513).

The spelling of 102334002131312 in words is "one hundred two trillion, three hundred thirty-four billion, two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 223 392 446 784 892 1561 1784 3122 3568 6244 10927 12488 21854 24976 43708 87416 174832 585327641 1170655282 2341310564 4097293487 4682621128 8194586974 9365242256 16389173948 28681054409 32778347896 57362108818 65556695792 114724217636 130528063943 229448435272 261056127886 458896870544 522112255772 913696447601 1044224511544 1827392895202 2088449023088 3654785790404 6395875133207 7309571580808 12791750266414 14619143161616 25583500532828 51167001065656 102334002131312