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113300856252 = 223247677313691
BaseRepresentation
bin110100110000101000…
…0011101110110111100
3101211110010112211220100
41221201100131312330
53324020004400002
6124014422321100
711120462250033
oct1514120356674
9354403484810
10113300856252
114406141a291
1219b60289190
13a8b831bb9c
1456ab74371a
152e31cb911c
hex1a6141ddbc

113300856252 has 144 divisors (see below), whose sum is σ = 300947092992. Its totient is φ = 35910293760.

The previous prime is 113300856241. The next prime is 113300856257. The reversal of 113300856252 is 252658003311.

113300856252 is a `hidden beast` number, since 1 + 13 + 30 + 0 + 8 + 562 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113300856257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8268727 + ... + 8282417.

It is an arithmetic number, because the mean of its divisors is an integer number (2089910368).

Almost surely, 2113300856252 is an apocalyptic number.

113300856252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113300856252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150473546496).

113300856252 is an abundant number, since it is smaller than the sum of its proper divisors (187646236740).

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

113300856252 is a wasteful number, since it uses less digits than its factorization.

113300856252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13888 (or 13883 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 113300856252 its reverse (252658003311), we get a palindrome (365958859563).

The spelling of 113300856252 in words is "one hundred thirteen billion, three hundred million, eight hundred fifty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 67 73 94 134 141 146 188 201 219 268 282 292 402 423 438 564 603 657 804 846 876 1206 1314 1692 2412 2628 3149 3431 4891 6298 6862 9447 9782 10293 12596 13691 13724 14673 18894 19564 20586 27382 28341 29346 30879 37788 41073 41172 44019 54764 56682 58692 61758 82146 88038 113364 123219 123516 164292 176076 229877 246438 459754 492876 643477 689631 917297 919508 999443 1286954 1379262 1834594 1930431 1998886 2068893 2573908 2751891 2758524 2998329 3669188 3860862 3997772 4137786 5503782 5791293 5996658 7721724 8255673 8275572 8994987 11007564 11582586 11993316 16511346 17989974 23165172 33022692 35979948 43112959 46973821 66962681 86225918 93947642 129338877 133925362 140921463 172451836 187895284 200888043 258677754 267850724 281842926 388016631 401776086 422764389 517355508 563685852 602664129 776033262 803552172 845528778 1205328258 1552066524 1691057556 2410656516 3147246007 6294492014 9441738021 12588984028 18883476042 28325214063 37766952084 56650428126 113300856252