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102310000310133 = 32711295090809589
BaseRepresentation
bin10111010000110011100111…
…001110011011011101110101
3111102020201222211102210112200
4113100303213032123131311
5101402221340034411013
61001332322034135113
730356440116616050
oct2720634716333565
9442221884383480
10102310000310133
112a665477a60280
12b584444121499
134511a3a2a4595
141b39b8aa07a97
15bc64b7d7ae73
hex5d0ce739b775

102310000310133 has 48 divisors (see below), whose sum is σ = 190599911049600. Its totient is φ = 51315360647040.

The previous prime is 102310000310107. The next prime is 102310000310207. The reversal of 102310000310133 is 331013000013201.

It is a happy number.

102310000310133 is a `hidden beast` number, since 10 + 2 + 310 + 0 + 0 + 0 + 310 + 1 + 33 = 666.

It is not a de Polignac number, because 102310000310133 - 28 = 102310000309877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102310020310133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545384698 + ... + 2545424891.

It is an arithmetic number, because the mean of its divisors is an integer number (3970831480200).

Almost surely, 2102310000310133 is an apocalyptic number.

It is an amenable number.

102310000310133 is a deficient number, since it is larger than the sum of its proper divisors (88289910739467).

102310000310133 is a wasteful number, since it uses less digits than its factorization.

102310000310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5090809642 (or 5090809639 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102310000310133 its reverse (331013000013201), we get a palindrome (433323000323334).

The spelling of 102310000310133 in words is "one hundred two trillion, three hundred ten billion, three hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 693 957 1827 2233 2871 6699 20097 5090809589 15272428767 35635667123 45817286301 55998905479 106907001369 147633478081 167996716437 320721004107 391992338353 442900434243 503990149311 1033434346567 1175977015059 1328701302729 1623968258891 3100303039701 3527931045177 4871904776673 9300909119103 11367777812237 14615714330019 34103333436711 102310000310133