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110112000020 = 225112112372081
BaseRepresentation
bin110011010001100101…
…1111100100000010100
3101112012220011011111222
41212203023330200110
53301002133000040
6122330150145512
710645451362061
oct1464313744024
9345186134458
10110112000020
1142775398410
1219410352298
13a4ca7826c9
145488019c68
152ce6d6cbb5
hex19a32fc814

110112000020 has 48 divisors (see below), whose sum is σ = 253452217536. Its totient is φ = 39850944000.

The previous prime is 110112000001. The next prime is 110112000043. The reversal of 110112000020 is 20000211011.

It is a junction number, because it is equal to n+sod(n) for n = 110111999971 and 110112000007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1139621 + ... + 1232460.

It is an arithmetic number, because the mean of its divisors is an integer number (5280254532).

Almost surely, 2110112000020 is an apocalyptic number.

110112000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110112000020 is an abundant number, since it is smaller than the sum of its proper divisors (143340217516).

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

110112000020 is a wasteful number, since it uses less digits than its factorization.

110112000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372312 (or 2372310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110112000020 its reverse (20000211011), we get a palindrome (130112211031).

The spelling of 110112000020 in words is "one hundred ten billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 4220 4642 9284 11605 23210 46420 2372081 4744162 9488324 11860405 23720810 26092891 47441620 52185782 104371564 130464455 260928910 500509091 521857820 1001018182 2002036364 2502545455 5005090910 5505600001 10010181820 11011200002 22022400004 27528000005 55056000010 110112000020