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112100113020 = 22357266905031
BaseRepresentation
bin110100001100110101…
…1111111101001111100
3101201100110010202211210
41220121223333221330
53314040112104040
6123255330244420
711045642144640
oct1503153775174
9351313122753
10112100113020
11435a5656105
1219886126710
13a75662732c
1455d609cc20
152db1683480
hex1a19affa7c

112100113020 has 48 divisors (see below), whose sum is σ = 358720363008. Its totient is φ = 25622882880.

The previous prime is 112100113007. The next prime is 112100113043. The reversal of 112100113020 is 20311001211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 112100112987 and 112100113005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133452096 + ... + 133452935.

It is an arithmetic number, because the mean of its divisors is an integer number (7473340896).

Almost surely, 2112100113020 is an apocalyptic number.

112100113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112100113020 is an abundant number, since it is smaller than the sum of its proper divisors (246620249988).

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

112100113020 is a wasteful number, since it uses less digits than its factorization.

112100113020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266905050 (or 266905048 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 112100113020 its reverse (20311001211), we get a palindrome (132411114231).

The spelling of 112100113020 in words is "one hundred twelve billion, one hundred million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 266905031 533810062 800715093 1067620124 1334525155 1601430186 1868335217 2669050310 3202860372 3736670434 4003575465 5338100620 5605005651 7473340868 8007150930 9341676085 11210011302 16014301860 18683352170 22420022604 28025028255 37366704340 56050056510 112100113020