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131203500344040 = 23353135269758157
BaseRepresentation
bin11101110101010000110010…
…000010000000001011101000
3122012112221011112020022002010
4131311100302002000023220
5114144114232042002130
61143014020031035520
736431066022636255
oct3565206202001350
9565487145208063
10131203500344040
1138895101526633
121287014a96bba0
13582958b0c9c87
1424583d753442c
151027d8670d0b0
hex7754320802e8

131203500344040 has 64 divisors (see below), whose sum is σ = 406307613980160. Its totient is φ = 33858967829760.

The previous prime is 131203500344027. The next prime is 131203500344047. The reversal of 131203500344040 is 40443005302131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131203500343989 and 131203500344007.

It is not an unprimeable number, because it can be changed into a prime (131203500344047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17634875359 + ... + 17634882798.

It is an arithmetic number, because the mean of its divisors is an integer number (6348556468440).

Almost surely, 2131203500344040 is an apocalyptic number.

131203500344040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131203500344040 is an abundant number, since it is smaller than the sum of its proper divisors (275104113636120).

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

131203500344040 is a wasteful number, since it uses less digits than its factorization.

131203500344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35269758202 (or 35269758198 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 131203500344040 its reverse (40443005302131), we get a palindrome (171646505646171).

The spelling of 131203500344040 in words is "one hundred thirty-one trillion, two hundred three billion, five hundred million, three hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 35269758157 70539516314 105809274471 141079032628 176348790785 211618548942 282158065256 352697581570 423237097884 529046372355 705395163140 846474195768 1058092744710 1093362502867 1410790326280 2116185489420 2186725005734 3280087508601 4232370978840 4373450011468 5466812514335 6560175017202 8746900022936 10933625028670 13120350034404 16400437543005 21867250057340 26240700068808 32800875086010 43734500114680 65601750172020 131203500344040