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100132330131 = 3229337972063
BaseRepresentation
bin101110101000001011…
…0100001101010010011
3100120110101122102001200
41131100112201222103
53120032334031011
6114000011202243
710143241522431
oct1352026415223
9316411572050
10100132330131
11395140a9749
12174a6146383
13959a0629b2
144bbc869d51
152910b78856
hex17505a1a93

100132330131 has 12 divisors (see below), whose sum is σ = 145129228608. Its totient is φ = 66527052624.

The previous prime is 100132330117. The next prime is 100132330187. The reversal of 100132330131 is 131033231001.

It is a happy number.

100132330131 is a `hidden beast` number, since 10 + 0 + 1 + 323 + 301 + 31 = 666.

It is not a de Polignac number, because 100132330131 - 25 = 100132330099 is a prime.

It is a super-2 number, since 2×1001323301312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100132330031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18983395 + ... + 18988668.

It is an arithmetic number, because the mean of its divisors is an integer number (12094102384).

Almost surely, 2100132330131 is an apocalyptic number.

100132330131 is a deficient number, since it is larger than the sum of its proper divisors (44996898477).

100132330131 is a wasteful number, since it uses less digits than its factorization.

100132330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37972362 (or 37972359 counting only the distinct ones).

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

Adding to 100132330131 its reverse (131033231001), we get a palindrome (231165561132).

The spelling of 100132330131 in words is "one hundred billion, one hundred thirty-two million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 293 879 2637 37972063 113916189 341748567 11125814459 33377443377 100132330131