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81311100111318 = 23711259976769937
BaseRepresentation
bin10010011111001110110111…
…001111010000100111010110
3101122220021011101000120000010
4102133032313033100213112
541124200113112030233
6444533445334101050
723061350601152430
oct2237166717204726
9348807141016003
1081311100111318
11239a9931267250
129152776aaa786
13364a7b083635c
14161169a42d650
1596014d0c5b63
hex49f3b73d09d6

81311100111318 has 64 divisors (see below), whose sum is σ = 202757585038848. Its totient is φ = 21118950750720.

The previous prime is 81311100111299. The next prime is 81311100111323.

81311100111318 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×813111001113182 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8625646 + ... + 15395582.

It is an arithmetic number, because the mean of its divisors is an integer number (3168087266232).

Almost surely, 281311100111318 is an apocalyptic number.

81311100111318 is an abundant number, since it is smaller than the sum of its proper divisors (121446484927530).

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

81311100111318 is a wasteful number, since it uses less digits than its factorization.

81311100111318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6795957.

The product of its (nonzero) digits is 576, while the sum is 30.

It can be divided in two parts, 81311100 and 111318, that added together give a palindrome (81422418).

The spelling of 81311100111318 in words is "eighty-one trillion, three hundred eleven billion, one hundred million, one hundred eleven thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 25997 51994 77991 155982 181979 285967 363958 545937 571934 857901 1091874 1715802 2001769 4003538 6005307 6769937 12010614 13539874 20309811 40619622 47389559 74469307 94779118 142168677 148938614 223407921 284337354 446815842 521285149 1042570298 1563855447 3127710894 175998052189 351996104378 527994156567 1055988313134 1231986365323 1935978574079 2463972730646 3695959095969 3871957148158 5807935722237 7391918191938 11615871444474 13551850018553 27103700037106 40655550055659 81311100111318