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112642052220 = 22355536167107
BaseRepresentation
bin110100011100111111…
…1010101000001111100
3101202202012220010200000
41220321333111001330
53321142331132340
6123425210034300
711065242434415
oct1507177250174
9352665803600
10112642052220
1143853558045
12199b7718990
13a8119a4809
14564805080c
152de4032d30
hex1a39fd507c

112642052220 has 576 divisors, whose sum is σ = 375896941056. Its totient is φ = 28288465920.

The previous prime is 112642052191. The next prime is 112642052227. The reversal of 112642052220 is 22250246211.

112642052220 is a `hidden beast` number, since 1 + 12 + 6 + 420 + 5 + 2 + 220 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112642052227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1052729407 + ... + 1052729513.

It is an arithmetic number, because the mean of its divisors is an integer number (652598856).

Almost surely, 2112642052220 is an apocalyptic number.

112642052220 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 112642052220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187948470528).

112642052220 is an abundant number, since it is smaller than the sum of its proper divisors (263254888836).

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

112642052220 is a wasteful number, since it uses less digits than its factorization.

112642052220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112642052220 its reverse (22250246211), we get a palindrome (134892298431).

The spelling of 112642052220 in words is "one hundred twelve billion, six hundred forty-two million, fifty-two thousand, two hundred twenty".