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113200321032 = 23323724912339
BaseRepresentation
bin110100101101101000…
…0111101001000001000
3101211012010101010111200
41221123100331020020
53323313240233112
6124000431424200
711115131565321
oct1513320751010
9354163333450
10113200321032
114400a6a2727
1219b32685060
13a8a054b8a6
14569c253448
152e2805acdc
hex1a5b43d208

113200321032 has 144 divisors (see below), whose sum is σ = 315870937200. Its totient is φ = 36623180160.

The previous prime is 113200321019. The next prime is 113200321051. The reversal of 113200321032 is 230123002311.

113200321032 is a `hidden beast` number, since 113 + 200 + 321 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113200320996 and 113200321014.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48395719 + ... + 48398057.

It is an arithmetic number, because the mean of its divisors is an integer number (2193548175).

Almost surely, 2113200321032 is an apocalyptic number.

113200321032 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 113200321032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157935468600).

113200321032 is an abundant number, since it is smaller than the sum of its proper divisors (202670616168).

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

113200321032 is a wasteful number, since it uses less digits than its factorization.

113200321032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113200321032 its reverse (230123002311), we get a palindrome (343323323343).

The spelling of 113200321032 in words is "one hundred thirteen billion, two hundred million, three hundred twenty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 491 666 888 982 1332 1369 1473 1964 2339 2664 2738 2946 3928 4107 4419 4678 5476 5892 7017 8214 8838 9356 10952 11784 12321 14034 16428 17676 18167 18712 21051 24642 28068 32856 35352 36334 42102 49284 54501 56136 72668 84204 86543 98568 109002 145336 163503 168408 173086 218004 259629 327006 346172 436008 519258 654012 672179 692344 778887 1038516 1148449 1308024 1344358 1557774 2016537 2077032 2296898 2688716 3115548 3202091 3445347 4033074 4593796 5377432 6049611 6231096 6404182 6890694 8066148 9187592 9606273 10336041 12099222 12808364 13781388 16132296 19212546 20672082 24198444 25616728 27562776 28818819 38425092 41344164 42492613 48396888 57637638 76850184 82688328 84985226 115275276 127477839 169970452 230550552 254955678 339940904 382433517 509911356 764867034 1019822712 1529734068 1572226681 3059468136 3144453362 4716680043 6288906724 9433360086 12577813448 14150040129 18866720172 28300080258 37733440344 56600160516 113200321032