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100323214330131 = 32136170120052463
BaseRepresentation
bin10110110011111001010001…
…100011011000100100010011
3111011012210202022002201021200
4112303321101203120210103
5101122143420332031011
6553211503131322243
730063053526464442
oct2663712143304423
9434183668081250
10100323214330131
1129a69922083281
12b3033895b0383
1343c9591567770
141aab9530b4d59
15b8e984ec8856
hex5b3e518d8913

100323214330131 has 48 divisors (see below), whose sum is σ = 158842946650752. Its totient is φ = 60638645088000.

The previous prime is 100323214330103. The next prime is 100323214330181. The reversal of 100323214330131 is 131033412323001.

100323214330131 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 321 + 4 + 3 + 301 + 31 = 666.

It is not a de Polignac number, because 100323214330131 - 214 = 100323214313747 is a prime.

It is a super-2 number, since 2×1003232143301312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100323214330095 and 100323214330104.

It is not an unprimeable number, because it can be changed into a prime (100323214330181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5023195 + ... + 15029268.

It is an arithmetic number, because the mean of its divisors is an integer number (3309228055224).

Almost surely, 2100323214330131 is an apocalyptic number.

100323214330131 is a deficient number, since it is larger than the sum of its proper divisors (58519732320621).

100323214330131 is a wasteful number, since it uses less digits than its factorization.

100323214330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20053244 (or 20053241 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 100323214330131 its reverse (131033412323001), we get a palindrome (231356626653132).

The spelling of 100323214330131 in words is "one hundred trillion, three hundred twenty-three billion, two hundred fourteen million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 13 39 61 117 183 549 701 793 2103 2379 6309 7137 9113 27339 42761 82017 128283 384849 555893 1667679 5003037 20052463 60157389 180472167 260682019 782046057 1223200243 2346138171 3669600729 11008802187 14056776563 15901603159 42170329689 47704809477 126510989067 143114428431 182738095319 548214285957 857463370343 1644642857871 2572390111029 7717170333087 11147023814459 33441071443377 100323214330131