Search a number
-
+
100331531263134 = 232191567187215731
BaseRepresentation
bin10110110100000001000001…
…010001111101110010011110
3111011020121012220212200112100
4112310001001101331302132
5101122312434000410014
6553215400312145530
730063466606320513
oct2664010121756236
9434217186780470
10100331531263134
1129a723aa840126
12b304b0a9982a6
1343ca2b8656ab2
141aac1018bd30a
15b8ecc022a009
hex5b404147dc9e

100331531263134 has 48 divisors (see below), whose sum is σ = 228972328865280. Its totient is φ = 31663421983440.

The previous prime is 100331531263121. The next prime is 100331531263253. The reversal of 100331531263134 is 431362135133001.

It is a happy number.

100331531263134 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 3 + 1 + 5 + 3 + 12 + 631 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93071952 + ... + 94143779.

It is an arithmetic number, because the mean of its divisors is an integer number (4770256851360).

Almost surely, 2100331531263134 is an apocalyptic number.

100331531263134 is an abundant number, since it is smaller than the sum of its proper divisors (128640797602146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100331531263134 is a wasteful number, since it uses less digits than its factorization.

100331531263134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187217325 (or 187217322 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

Adding to 100331531263134 its reverse (431362135133001), we get a palindrome (531693666396135).

The spelling of 100331531263134 in words is "one hundred trillion, three hundred thirty-one billion, five hundred thirty-one million, two hundred sixty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 1567 3134 4701 9402 14103 28206 29773 59546 89319 178638 267957 535914 187215731 374431462 561647193 1123294386 1684941579 3369883158 3557098889 7114197778 10671296667 21342593334 32013890001 64027780002 293367050477 586734100954 880101151431 1760202302862 2640303454293 5280606908586 5573973959063 11147947918126 16721921877189 33443843754378 50165765631567 100331531263134