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131373568128 = 2731122827427
BaseRepresentation
bin111101001011001111…
…0011001000010000000
3110120002122112201212110
41322112132121002000
54123023113140003
6140204023255320
712330362622105
oct1722636310200
9416078481773
10131373568128
1150795a55200
12215648aa540
13c50862a43a
146503a9aaac
15363d736a03
hex1e96799080

131373568128 has 96 divisors (see below), whose sum is σ = 383568882480. Its totient is φ = 39810158080.

The previous prime is 131373568127. The next prime is 131373568163. The reversal of 131373568128 is 821865373131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (131373568127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1367250 + ... + 1460177.

Almost surely, 2131373568128 is an apocalyptic number.

It is an amenable number.

131373568128 is an abundant number, since it is smaller than the sum of its proper divisors (252195314352).

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

131373568128 is a wasteful number, since it uses less digits than its factorization.

131373568128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827466 (or 2827443 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 131373568128 in words is "one hundred thirty-one billion, three hundred seventy-three million, five hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 2827427 5654854 8482281 11309708 16964562 22619416 31101697 33929124 45238832 62203394 67858248 90477664 93305091 124406788 135716496 180955328 186610182 248813576 271432992 342118667 361910656 373220364 497627152 542865984 684237334 746440728 995254304 1026356001 1085731968 1368474668 1492881456 1990508608 2052712002 2736949336 2985762912 3981017216 4105424004 5473898672 5971525824 8210848008 10947797344 11943051648 16421696016 21895594688 32843392032 43791189376 65686784064 131373568128