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113534531315352 = 233271092066669057
BaseRepresentation
bin11001110100001001010001…
…011010001010011010011000
3112212222210110200210100021100
4121310021101122022122120
5104340122210004042402
61041245013232311400
732625412345140150
oct3164112132123230
9485883420710240
10113534531315352
11331a27a70a7714
12108979049a2560
134b473500335b4
14200715a203760
15d1d4613da71c
hex67425168a698

113534531315352 has 96 divisors (see below), whose sum is σ = 354640410352800. Its totient is φ = 32140837158912.

The previous prime is 113534531315351. The next prime is 113534531315353. The reversal of 113534531315352 is 253513135435311.

113534531315352 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 34 + 53 + 1 + 31 + 535 + 2 = 666.

113534531315352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (113534531315351) and next prime (113534531315353).

It is a junction number, because it is equal to n+sod(n) for n = 113534531315298 and 113534531315307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113534531315351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1033279593 + ... + 1033389464.

It is an arithmetic number, because the mean of its divisors is an integer number (3694170941175).

Almost surely, 2113534531315352 is an apocalyptic number.

113534531315352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113534531315352 is an abundant number, since it is smaller than the sum of its proper divisors (241105879037448).

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

113534531315352 is a wasteful number, since it uses less digits than its factorization.

113534531315352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066669185 (or 2066669178 counting only the distinct ones).

The product of its digits is 1215000, while the sum is 45.

The spelling of 113534531315352 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred thirty-one million, three hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 252 327 436 504 654 763 872 981 1308 1526 1962 2289 2616 3052 3924 4578 6104 6867 7848 9156 13734 18312 27468 54936 2066669057 4133338114 6200007171 8266676228 12400014342 14466683399 16533352456 18600021513 24800028684 28933366798 37200043026 43400050197 49600057368 57866733596 74400086052 86800100394 115733467192 130200150591 148800172104 173600200788 225266927213 260400301182 347200401576 450533854426 520800602364 675800781639 901067708852 1041601204728 1351601563278 1576868490491 1802135417704 2027402344917 2703203126556 3153736980982 4054804689834 4730605471473 5406406253112 6307473961964 8109609379668 9461210942946 12614947923928 14191816414419 16219218759336 18922421885892 28383632828838 37844843771784 56767265657676 113534531315352