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131013323112 = 23372711569097
BaseRepresentation
bin111101000000100000…
…0001010100101101000
3110112011112200101121110
41322001000022211220
54121303402314422
6140104154110320
712315426605100
oct1720100124550
9415145611543
10131013323112
1150620672851
122148411b3a0
13c47bac7cc9
1464abcc4200
15361bcc760c
hex1e8100a968

131013323112 has 96 divisors (see below), whose sum is σ = 386374691520. Its totient is φ = 36905137920.

The previous prime is 131013323039. The next prime is 131013323131. The reversal of 131013323112 is 211323310131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 701053 + ... + 868044.

It is an arithmetic number, because the mean of its divisors is an integer number (4024736370).

Almost surely, 2131013323112 is an apocalyptic number.

131013323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131013323112 is an abundant number, since it is smaller than the sum of its proper divisors (255361368408).

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

131013323112 is a wasteful number, since it uses less digits than its factorization.

131013323112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569191 (or 1569180 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131013323112 its reverse (211323310131), we get a palindrome (342336633243).

The spelling of 131013323112 in words is "one hundred thirty-one billion, thirteen million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 71 84 98 142 147 168 196 213 284 294 392 426 497 568 588 852 994 1176 1491 1704 1988 2982 3479 3976 5964 6958 10437 11928 13916 20874 27832 41748 83496 1569097 3138194 4707291 6276388 9414582 10983679 12552776 18829164 21967358 32951037 37658328 43934716 65902074 76885753 87869432 111405887 131804148 153771506 222811774 230657259 263608296 307543012 334217661 445623548 461314518 615086024 668435322 779841209 891247096 922629036 1336870644 1559682418 1845258072 2339523627 2673741288 3119364836 4679047254 5458888463 6238729672 9358094508 10917776926 16376665389 18716189016 21835553852 32753330778 43671107704 65506661556 131013323112