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103360870944 = 253217137154097
BaseRepresentation
bin110000001000011001…
…0011011101000100000
3100212210101201021110100
41200100302123220200
53143140340332234
6115252222102400
710316243623032
oct1402062335040
9325711637410
10103360870944
113a9205761a1
121804741aa00
139992bb5286
145007563c52
152a4e313399
hex1810c9ba20

103360870944 has 144 divisors (see below), whose sum is σ = 313496354808. Its totient is φ = 32190038016.

The previous prime is 103360870919. The next prime is 103360870967. The reversal of 103360870944 is 449078063301.

103360870944 is a `hidden beast` number, since 1 + 0 + 33 + 608 + 7 + 0 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73230854544 + 30130016400 = 270612^2 + 173580^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1033608709442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103360870944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 593704 + ... + 747800.

Almost surely, 2103360870944 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 103360870944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156748177404).

103360870944 is an abundant number, since it is smaller than the sum of its proper divisors (210135483864).

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

103360870944 is a wasteful number, since it uses less digits than its factorization.

103360870944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154267 (or 154256 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 103360870944 in words is "one hundred three billion, three hundred sixty million, eight hundred seventy thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 137 144 153 204 272 274 288 306 408 411 544 548 612 816 822 1096 1224 1233 1632 1644 2192 2329 2448 2466 3288 4384 4658 4896 4932 6576 6987 9316 9864 13152 13974 18632 19728 20961 27948 37264 39456 41922 55896 74528 83844 111792 154097 167688 223584 308194 335376 462291 616388 670752 924582 1232776 1386873 1849164 2465552 2619649 2773746 3698328 4931104 5239298 5547492 7396656 7858947 10478596 11094984 14793312 15717894 20957192 21111289 22189968 23576841 31435788 41914384 42222578 44379936 47153682 62871576 63333867 83828768 84445156 94307364 125743152 126667734 168890312 188614728 190001601 251486304 253335468 337780624 358891913 377229456 380003202 506670936 675561248 717783826 754458912 760006404 1013341872 1076675739 1435567652 1520012808 2026683744 2153351478 2871135304 3040025616 3230027217 4306702956 5742270608 6080051232 6460054434 8613405912 11484541216 12920108868 17226811824 25840217736 34453623648 51680435472 103360870944