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100131210213 = 31715766118919
BaseRepresentation
bin101110101000001001…
…0010000001111100101
3100120110022112111211020
41131100102100033211
53120032042211323
6113555531201353
710143226146366
oct1352022201745
9316408474736
10100131210213
11395135042a1
12174a58a6259
139599a60018
144bbc657b6d
152910a06ae3
hex17504903e5

100131210213 has 32 divisors (see below), whose sum is σ = 142484855040. Its totient is φ = 62329512960.

The previous prime is 100131210211. The next prime is 100131210229. The reversal of 100131210213 is 312012131001.

It is a happy number.

It is not a de Polignac number, because 100131210213 - 21 = 100131210211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100131210192 and 100131210201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131210211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5283168 + ... + 5302086.

It is an arithmetic number, because the mean of its divisors is an integer number (4452651720).

Almost surely, 2100131210213 is an apocalyptic number.

It is an amenable number.

100131210213 is a deficient number, since it is larger than the sum of its proper divisors (42353644827).

100131210213 is a wasteful number, since it uses less digits than its factorization.

100131210213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19757.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100131210213 its reverse (312012131001), we get a palindrome (412143341214).

The spelling of 100131210213 in words is "one hundred billion, one hundred thirty-one million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 3 17 51 157 471 661 1983 2669 8007 11237 18919 33711 56757 103777 311331 321623 964869 1764209 2970283 5292627 8910849 12505459 37516377 50494811 151484433 212592803 637778409 1963357063 5890071189 33377070071 100131210213