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10113131301132 = 22331412393277087
BaseRepresentation
bin1001001100101010010110…
…0110010100100100001100
31022210210202111201210211110
42103022211212110210030
52311143143103114012
633301524113252020
72062435551500466
oct223124546244414
938723674653743
1010113131301132
113249a55a75002
121173bab264010
135848832bc722
1426d69a137136
151280ebdb873c
hex932a599490c

10113131301132 has 96 divisors (see below), whose sum is σ = 24963137224704. Its totient is φ = 3181390617600.

The previous prime is 10113131301073. The next prime is 10113131301151. The reversal of 10113131301132 is 23110313131101.

It is a junction number, because it is equal to n+sod(n) for n = 10113131301099 and 10113131301108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36359493 + ... + 36636579.

It is an arithmetic number, because the mean of its divisors is an integer number (260032679424).

Almost surely, 210113131301132 is an apocalyptic number.

10113131301132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10113131301132 is an abundant number, since it is smaller than the sum of its proper divisors (14850005923572).

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

10113131301132 is a wasteful number, since it uses less digits than its factorization.

10113131301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279559 (or 279557 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10113131301132 its reverse (23110313131101), we get a palindrome (33223444432233).

The spelling of 10113131301132 in words is "ten trillion, one hundred thirteen billion, one hundred thirty-one million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 41 62 82 93 123 124 164 186 246 372 492 1271 2393 2542 3813 4786 5084 7179 7626 9572 14358 15252 28716 74183 98113 148366 196226 222549 277087 294339 296732 392452 445098 554174 588678 831261 890196 1108348 1177356 1662522 3041503 3325044 6083006 8589697 9124509 11360567 12166012 17179394 18249018 22721134 25769091 34081701 34358788 36498036 45442268 51538182 68163402 103076364 136326804 352177577 663069191 704355154 1056532731 1326138382 1408710308 1989207573 2113065462 2652276764 3978415146 4226130924 7956830292 20555144921 27185836831 41110289842 54371673662 61665434763 81557510493 82220579684 108743347324 123330869526 163115020986 246661739052 326230041972 842760941761 1685521883522 2528282825283 3371043767044 5056565650566 10113131301132