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131134100313232 = 24191076833589993
BaseRepresentation
bin11101110100010000001001…
…011101111001010010010000
3122012022022000220211110012201
4131310100021131321102100
5114142000114140010412
61142522101331332544
736423061152260032
oct3564201135712220
9565268026743181
10131134100313232
1138868728a71275
121285a800a51154
135822b7b06a1a3
142454cd2497c52
151026173b10e57
hex774409779490

131134100313232 has 80 divisors (see below), whose sum is σ = 269983991972160. Its totient is φ = 61526518050816.

The previous prime is 131134100313191. The next prime is 131134100313257. The reversal of 131134100313232 is 232313001431131.

It is a self number, because there is not a number n which added to its sum of digits gives 131134100313232.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221968828 + ... + 222558820.

It is an arithmetic number, because the mean of its divisors is an integer number (3374799899652).

Almost surely, 2131134100313232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131134100313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134991995986080).

131134100313232 is an abundant number, since it is smaller than the sum of its proper divisors (138849891658928).

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

131134100313232 is a wasteful number, since it uses less digits than its factorization.

131134100313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596960 (or 596954 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131134100313232 its reverse (232313001431131), we get a palindrome (363447101744363).

The spelling of 131134100313232 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 38 76 107 152 214 304 428 856 1712 2033 4066 6833 8132 13666 16264 27332 32528 54664 109328 129827 259654 519308 589993 731131 1038616 1179986 1462262 2077232 2359972 2924524 4719944 5849048 9439888 11209867 11698096 13891489 22419734 27782978 44839468 55565956 63129251 89678936 111131912 126258502 179357872 222263824 252517004 505034008 1010068016 1199455769 2398911538 4031422169 4797823076 8062844338 9595646152 16125688676 19191292304 32251377352 64502754704 76597021211 153194042422 306388084844 431362172083 612776169688 862724344166 1225552339376 1725448688332 3450897376664 6901794753328 8195881269577 16391762539154 32783525078308 65567050156616 131134100313232