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102331034140329 = 3211370114904481
BaseRepresentation
bin10111010001000111001100…
…111100000111111010101001
3111102022202021201022002012200
4113101013030330013322221
5101403042424214442304
61001350121134130413
730361113264334131
oct2721071474077251
9442282251262180
10102331034140329
112a67339100a215
12b588534350a09
134513a0cc02857
141b3abc4325ac1
15bc6ce975be39
hex5d11ccf07ea9

102331034140329 has 6 divisors (see below), whose sum is σ = 147811493758266. Its totient is φ = 68220689426880.

The previous prime is 102331034140271. The next prime is 102331034140403. The reversal of 102331034140329 is 923041430133201.

102331034140329 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 310 + 3 + 4 + 14 + 0 + 329 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102322834475625 + 8199664704 = 10115475^2 + 90552^2 .

It is not a de Polignac number, because 102331034140329 - 219 = 102331033616041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102331034140293 and 102331034140302.

It is not an unprimeable number, because it can be changed into a prime (102331034040329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5685057452232 + ... + 5685057452249.

It is an arithmetic number, because the mean of its divisors is an integer number (24635248959711).

Almost surely, 2102331034140329 is an apocalyptic number.

It is an amenable number.

102331034140329 is a deficient number, since it is larger than the sum of its proper divisors (45480459617937).

102331034140329 is a wasteful number, since it uses less digits than its factorization.

102331034140329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11370114904487 (or 11370114904484 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 102331034140329 in words is "one hundred two trillion, three hundred thirty-one billion, thirty-four million, one hundred forty thousand, three hundred twenty-nine".

Divisors: 1 3 9 11370114904481 34110344713443 102331034140329