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131012319960 = 233253313109847
BaseRepresentation
bin111101000000011110…
…0010101101011011000
3110112011110210102112200
41322000330111223120
54121303123214320
6140104120410200
712315415226334
oct1720074255330
9415143712480
10131012319960
11506200480a5
1221483916960
13c47b836522
1464abb027c4
15361bb7a290
hex1e80f15ad8

131012319960 has 96 divisors (see below), whose sum is σ = 425922438240. Its totient is φ = 34925755392.

The previous prime is 131012319941. The next prime is 131012319989. The reversal of 131012319960 is 69913210131.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1137757 + ... + 1247603.

It is an arithmetic number, because the mean of its divisors is an integer number (4436692065).

Almost surely, 2131012319960 is an apocalyptic number.

131012319960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131012319960 is an abundant number, since it is smaller than the sum of its proper divisors (294910118280).

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

131012319960 is a wasteful number, since it uses less digits than its factorization.

131012319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113177 (or 113170 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 131012319960 in words is "one hundred thirty-one billion, twelve million, three hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3313 6626 9939 13252 16565 19878 26504 29817 33130 39756 49695 59634 66260 79512 99390 109847 119268 132520 149085 198780 219694 238536 298170 329541 397560 439388 549235 596340 659082 878776 988623 1098470 1192680 1318164 1647705 1977246 2196940 2636328 3295410 3954492 4393880 4943115 6590820 7908984 9886230 13181640 19772460 39544920 363923111 727846222 1091769333 1455692444 1819615555 2183538666 2911384888 3275307999 3639231110 4367077332 5458846665 6550615998 7278462220 8734154664 10917693330 13101231996 14556924440 16376539995 21835386660 26202463992 32753079990 43670773320 65506159980 131012319960