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10005500112 = 2432361148573
BaseRepresentation
bin10010101000101111…
…11101000011010000
3221211022010001212020
421110113331003100
5130442402000422
64332500331440
7502642230156
oct112427750320
927738101766
1010005500112
114274931363
121b329a3b80
13c35b94a8a
146acb953d6
153d85e795c
hex2545fd0d0

10005500112 has 80 divisors (see below), whose sum is σ = 27413685888. Its totient is φ = 3137840640.

The previous prime is 10005500033. The next prime is 10005500123. The reversal of 10005500112 is 21100550001.

It is a super-2 number, since 2×100055001122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005500091 and 10005500100.

It is a congruent number.

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, 6943 + ... + 141630.

Almost surely, 210005500112 is an apocalyptic number.

10005500112 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 10005500112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13706842944).

10005500112 is an abundant number, since it is smaller than the sum of its proper divisors (17408185776).

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

10005500112 is a wasteful number, since it uses less digits than its factorization.

10005500112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148668 (or 148662 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The spelling of 10005500112 in words is "ten billion, five million, five hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 61 69 92 122 138 183 184 244 276 366 368 488 552 732 976 1104 1403 1464 2806 2928 4209 5612 8418 11224 16836 22448 33672 67344 148573 297146 445719 594292 891438 1188584 1782876 2377168 3417179 3565752 6834358 7131504 9062953 10251537 13668716 18125906 20503074 27188859 27337432 36251812 41006148 54377718 54674864 72503624 82012296 108755436 145007248 164024592 208447919 217510872 416895838 435021744 625343757 833791676 1250687514 1667583352 2501375028 3335166704 5002750056 10005500112