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10506236112 = 243324319991
BaseRepresentation
bin10011100100011100…
…00111000011010000
31000010012100002112000
421302032013003100
5133004044023422
64454305034000
7521232350661
oct116216070320
930105302460
1010506236112
114501550769
122052625900
13cb5846b78
1471949d368
15417558cac
hex2723870d0

10506236112 has 40 divisors (see below), whose sum is σ = 30156790080. Its totient is φ = 3502078560.

The previous prime is 10506236107. The next prime is 10506236159. The reversal of 10506236112 is 21163260501.

10506236112 is a `hidden beast` number, since 10 + 506 + 2 + 36 + 112 = 666.

It is a super-2 number, since 2×105062361122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12159564 + ... + 12160427.

It is an arithmetic number, because the mean of its divisors is an integer number (753919752).

Almost surely, 210506236112 is an apocalyptic number.

10506236112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10506236112 is an abundant number, since it is smaller than the sum of its proper divisors (19650553968).

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

10506236112 is a wasteful number, since it uses less digits than its factorization.

10506236112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24320008 (or 24319996 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10506236112 its reverse (21163260501), we get a palindrome (31669496613).

The spelling of 10506236112 in words is "ten billion, five hundred six million, two hundred thirty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 24319991 48639982 72959973 97279964 145919946 194559928 218879919 291839892 389119856 437759838 583679784 656639757 875519676 1167359568 1313279514 1751039352 2626559028 3502078704 5253118056 10506236112