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100232201002131 = 32113727363418237
BaseRepresentation
bin10110110010100100100000…
…101111000101110010010011
3111010220002211102110121110200
4112302210200233011302103
5101114201021424032011
6553102012032030243
730053352244120032
oct2662444057056223
9433802742417420
10100232201002131
1129a34268465930
12b2a9809392383
1343c0b1881ca23
141aa739b79a719
15b8c409bd6856
hex5b2920bc5c93

100232201002131 has 24 divisors (see below), whose sum is σ = 162210343314864. Its totient is φ = 59104983389760.

The previous prime is 100232201002117. The next prime is 100232201002139. The reversal of 100232201002131 is 131200102232001.

100232201002131 is a `hidden beast` number, since 100 + 232 + 20 + 100 + 213 + 1 = 666.

It is not a de Polignac number, because 100232201002131 - 242 = 95834154491027 is a prime.

It is a super-2 number, since 2×1002322010021312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100232201002139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13681705456 + ... + 13681712781.

It is an arithmetic number, because the mean of its divisors is an integer number (6758764304786).

Almost surely, 2100232201002131 is an apocalyptic number.

100232201002131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100232201002131 is a deficient number, since it is larger than the sum of its proper divisors (61978142312733).

100232201002131 is a wasteful number, since it uses less digits than its factorization.

100232201002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27363418291 (or 27363418288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100232201002131 its reverse (131200102232001), we get a palindrome (231432303234132).

The spelling of 100232201002131 in words is "one hundred trillion, two hundred thirty-two billion, two hundred one million, two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 27363418237 82090254711 246270764133 300997600607 902992801821 1012446474769 2708978405463 3037339424307 9112018272921 11136911222459 33410733667377 100232201002131