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112566511060 = 225416714913751
BaseRepresentation
bin110100011010101111…
…1001010010111010100
3101202112221202020200021
41220311133022113110
53321014011323220
6123413510554524
711063334361663
oct1506537122724
9352487666607
10112566511060
1143814951933
1219996368a44
13a7cc145ac3
14563bdc8dda
152ddc5b04aa
hex1a357ca5d4

112566511060 has 96 divisors (see below), whose sum is σ = 247436985600. Its totient is φ = 42979200000.

The previous prime is 112566511039. The next prime is 112566511067. The reversal of 112566511060 is 60115665211.

It is a super-2 number, since 2×1125665110602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112566511067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8179185 + ... + 8192935.

It is an arithmetic number, because the mean of its divisors is an integer number (2577468600).

Almost surely, 2112566511060 is an apocalyptic number.

112566511060 is a gapful number since it is divisible by the number (10) 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 112566511060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123718492800).

112566511060 is an abundant number, since it is smaller than the sum of its proper divisors (134870474540).

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

112566511060 is a wasteful number, since it uses less digits than its factorization.

112566511060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14017 (or 14015 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 112566511060 in words is "one hundred twelve billion, five hundred sixty-six million, five hundred eleven thousand, sixty".

Divisors: 1 2 4 5 10 20 41 67 82 134 149 164 205 268 298 335 410 596 670 745 820 1340 1490 2747 2980 5494 6109 9983 10988 12218 13735 13751 19966 24436 27470 27502 30545 39932 49915 54940 55004 61090 68755 99830 122180 137510 199660 275020 409303 563791 818606 921317 1127582 1637212 1842634 2046515 2048899 2255164 2818955 3685268 4093030 4097798 4606585 5637910 8186060 8195596 9213170 10244495 11275820 18426340 20488990 37773997 40977980 75547994 84004859 137276233 151095988 168009718 188869985 274552466 336019436 377739970 420024295 549104932 686381165 755479940 840048590 1372762330 1680097180 2745524660 5628325553 11256651106 22513302212 28141627765 56283255530 112566511060