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132817131085861 = 6159921431696193
BaseRepresentation
bin11110001100101111100101…
…111010110010000000100101
3122102021012020020011012122001
4132030233211322302000211
5114402033441024221421
61150251203034005301
736655502215635355
oct3614574572620045
9572235206135561
10132817131085861
1139357479a65102
1212a90a24576831
1359157a8c95101
1424b2552256b65
151054d297d5691
hex78cbe5eb2025

132817131085861 has 16 divisors (see below), whose sum is σ = 135283005619200. Its totient is φ = 130360768312320.

The previous prime is 132817131085843. The next prime is 132817131085879. The reversal of 132817131085861 is 168580131718231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132817131085843) and next prime (132817131085879).

It is a cyclic number.

It is not a de Polignac number, because 132817131085861 - 27 = 132817131085733 is a prime.

It is a super-3 number, since 3×1328171310858613 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132817131085061) 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, 77454981 + ... + 79151173.

It is an arithmetic number, because the mean of its divisors is an integer number (8455187851200).

Almost surely, 2132817131085861 is an apocalyptic number.

It is an amenable number.

132817131085861 is a deficient number, since it is larger than the sum of its proper divisors (2465874533339).

132817131085861 is a wasteful number, since it uses less digits than its factorization.

132817131085861 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698996.

The product of its (nonzero) digits is 1935360, while the sum is 55.

The spelling of 132817131085861 in words is "one hundred thirty-two trillion, eight hundred seventeen billion, one hundred thirty-one million, eighty-five thousand, eight hundred sixty-one".

Divisors: 1 61 599 2143 36539 130723 1283657 1696193 78303077 103467773 1016019607 3634941599 61977196027 221731437539 2177330017801 132817131085861