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131352413000022 = 23319612098750727
BaseRepresentation
bin11101110111011011011101…
…111010101101000101010110
3122020002011112111200000101000
4131313123131322231011112
5114204034220212000042
61143210244314044130
736444620146425324
oct3567333572550526
9566064474600330
10131352413000022
1138942277874065
1212894b89419646
13583a63030a1b6
1424616c271cd14
15102bb9eb0674c
hex7776ddead156

131352413000022 has 64 divisors (see below), whose sum is σ = 312294108326400. Its totient is φ = 40799714113440.

The previous prime is 131352413000009. The next prime is 131352413000027. The reversal of 131352413000022 is 220000314253131.

131352413000022 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 524 + 130 + 0 + 0 + 0 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131352413000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352413000027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049312778 + ... + 1049437949.

It is an arithmetic number, because the mean of its divisors is an integer number (4879595442600).

Almost surely, 2131352413000022 is an apocalyptic number.

131352413000022 is an abundant number, since it is smaller than the sum of its proper divisors (180941695326378).

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

131352413000022 is a wasteful number, since it uses less digits than its factorization.

131352413000022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098750818 (or 2098750812 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 131352413000022 its reverse (220000314253131), we get a palindrome (351352727253153).

The spelling of 131352413000022 in words is "one hundred thirty-one trillion, three hundred fifty-two billion, four hundred thirteen million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 19 27 38 54 57 61 114 122 171 183 342 366 513 549 1026 1098 1159 1647 2318 3294 3477 6954 10431 20862 31293 62586 2098750727 4197501454 6296252181 12592504362 18888756543 37777513086 39876263813 56666269629 79752527626 113332539258 119628791439 128023794347 239257582878 256047588694 358886374317 384071383041 717772748634 768142766082 1076659122951 1152214149123 2153318245902 2304428298246 2432452092593 3456642447369 4864904185186 6913284894738 7297356277779 14594712555558 21892068833337 43784137666674 65676206500011 131352413000022