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113200675344 = 243237113188021
BaseRepresentation
bin110100101101101001…
…0010011101000010000
3101211012011001010112100
41221123102103220100
53323313333102334
6124000443200400
711115134602311
oct1513322235020
9354164033470
10113200675344
114400a914949
1219b32816100
13a8a0643c43
14569c306608
152e280cac99
hex1a5b493a10

113200675344 has 120 divisors (see below), whose sum is σ = 328248055512. Its totient is φ = 36388638720.

The previous prime is 113200675337. The next prime is 113200675387. The reversal of 113200675344 is 443576002311.

113200675344 is a `hidden beast` number, since 113 + 2 + 0 + 0 + 6 + 7 + 534 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24806250000 + 88394425344 = 157500^2 + 297312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113200675299 and 113200675308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508054 + ... + 696074.

Almost surely, 2113200675344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113200675344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164124027756).

113200675344 is an abundant number, since it is smaller than the sum of its proper divisors (215047380168).

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

113200675344 is a wasteful number, since it uses less digits than its factorization.

113200675344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188185 (or 188176 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 113200675344 its reverse (443576002311), we get a palindrome (556776677655).

It can be divided in two parts, 113200 and 675344, that added together give a square (788544 = 8882).

The spelling of 113200675344 in words is "one hundred thirteen billion, two hundred million, six hundred seventy-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 113 144 148 222 226 296 333 339 444 452 592 666 678 888 904 1017 1332 1356 1776 1808 2034 2664 2712 4068 4181 5328 5424 8136 8362 12543 16272 16724 25086 33448 37629 50172 66896 75258 100344 150516 188021 200688 301032 376042 564063 602064 752084 1128126 1504168 1692189 2256252 3008336 3384378 4512504 6768756 6956777 9025008 13537512 13913554 20870331 21246373 27075024 27827108 41740662 42492746 55654216 62610993 63739119 83481324 84985492 111308432 125221986 127478238 166962648 169970984 191217357 250443972 254956476 333925296 339941968 382434714 500887944 509912952 764869428 786115801 1001775888 1019825904 1529738856 1572231602 2358347403 3059477712 3144463204 4716694806 6288926408 7075042209 9433389612 12577852816 14150084418 18866779224 28300168836 37733558448 56600337672 113200675344