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131056151640 = 23354329098731
BaseRepresentation
bin111101000001110001…
…1100010110001011000
3110112021112021022022020
41322003203202301120
54121400333323030
6140112324054440
712316456623441
oct1720343426130
9415245238266
10131056151640
1150642865527
1221496534420
13c48794212b
1464b38722c8
153620937510
hex1e838e2c58

131056151640 has 128 divisors (see below), whose sum is σ = 402496300800. Its totient is φ = 34119912960.

The previous prime is 131056151617. The next prime is 131056151663. The reversal of 131056151640 is 46151650131.

It is an interprime number because it is at equal distance from previous prime (131056151617) and next prime (131056151663).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15006075 + ... + 15014805.

It is an arithmetic number, because the mean of its divisors is an integer number (3144502350).

Almost surely, 2131056151640 is an apocalyptic number.

131056151640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131056151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201248150400).

131056151640 is an abundant number, since it is smaller than the sum of its proper divisors (271440149160).

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

131056151640 is a wasteful number, since it uses less digits than its factorization.

131056151640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11697 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 131056151640 in words is "one hundred thirty-one billion, fifty-six million, one hundred fifty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 2909 5160 5818 8727 8731 11636 14545 17454 17462 23272 26193 29090 34908 34924 43635 43655 52386 58180 69816 69848 87270 87310 104772 116360 125087 130965 174540 174620 209544 250174 261930 349080 349240 375261 375433 500348 523860 625435 750522 750866 1000696 1047720 1126299 1250870 1501044 1501732 1876305 1877165 2252598 2501740 3002088 3003464 3752610 3754330 4505196 5003480 5631495 7505220 7508660 9010392 11262990 15010440 15017320 22525980 25398479 45051960 50796958 76195437 101593916 126992395 152390874 203187832 253984790 304781748 380977185 507969580 609563496 761954370 1015939160 1092134597 1523908740 2184269194 3047817480 3276403791 4368538388 5460672985 6552807582 8737076776 10921345970 13105615164 16382018955 21842691940 26211230328 32764037910 43685383880 65528075820 131056151640