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113333002200192 = 27312714091649341
BaseRepresentation
bin11001110001001101100101…
…010101100110010010000000
3112212021112021210012120010010
4121301031211111212102000
5104323321442030401232
61041012243520104520
732605016306003355
oct3161154525462200
9485245253176103
10113333002200192
113312529017a685
1210864841165140
134b31343c99b68
141ddb4bd00062c
15d180b8aba0cc
hex671365566480

113333002200192 has 128 divisors (see below), whose sum is σ = 303626709043200. Its totient is φ = 37453582172160.

The previous prime is 113333002200169. The next prime is 113333002200221. The reversal of 113333002200192 is 291002200333311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67889442 + ... + 69538782.

It is an arithmetic number, because the mean of its divisors is an integer number (2372083664400).

Almost surely, 2113333002200192 is an apocalyptic number.

113333002200192 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 113333002200192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151813354521600).

113333002200192 is an abundant number, since it is smaller than the sum of its proper divisors (190293706843008).

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

113333002200192 is a wasteful number, since it uses less digits than its factorization.

113333002200192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650894 (or 1650882 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The spelling of 113333002200192 in words is "one hundred thirteen trillion, three hundred thirty-three billion, two million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 381 384 508 762 1016 1409 1524 2032 2818 3048 4064 4227 5636 6096 8128 8454 11272 12192 16256 16908 22544 24384 33816 45088 48768 67632 90176 135264 178943 180352 270528 357886 536829 541056 715772 1073658 1431544 1649341 2147316 2863088 3298682 4294632 4948023 5726176 6597364 8589264 9896046 11452352 13194728 17178528 19792092 22904704 26389456 34357056 39584184 52778912 68714112 79168368 105557824 158336736 209466307 211115648 316673472 418932614 628398921 633346944 837865228 1256797842 1675730456 2323921469 2513595684 3351460912 4647842938 5027191368 6702921824 6971764407 9295685876 10054382736 13405843648 13943528814 18591371752 20108765472 26811687296 27887057628 37182743504 40217530944 55774115256 74365487008 80435061888 111548230512 148730974016 223096461024 295138026563 297461948032 446192922048 590276053126 885414079689 892385844096 1180552106252 1770828159378 2361104212504 3541656318756 4722208425008 7083312637512 9444416850016 14166625275024 18888833700032 28333250550048 37777667400064 56666501100096 113333002200192