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110112002220 = 2235113717232617
BaseRepresentation
bin110011010001100101…
…1111101000010101100
3101112012220011021112110
41212203023331002230
53301002133032340
6122330150204020
710645451401353
oct1464313750254
9345186137473
10110112002220
114277539a030
1219410353610
13a4ca7836cc
14548801a99a
152ce6d6d680
hex19a32fd0ac

110112002220 has 192 divisors, whose sum is σ = 345764998656. Its totient is φ = 25947371520.

The previous prime is 110112002141. The next prime is 110112002239. The reversal of 110112002220 is 22200211011.

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 = 110112002196 and 110112002205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42074352 + ... + 42076968.

It is an arithmetic number, because the mean of its divisors is an integer number (1800859368).

Almost surely, 2110112002220 is an apocalyptic number.

110112002220 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 110112002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172882499328).

110112002220 is an abundant number, since it is smaller than the sum of its proper divisors (235652996436).

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

110112002220 is a wasteful number, since it uses less digits than its factorization.

110112002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110112002220 its reverse (22200211011), we get a palindrome (132312213231).

The spelling of 110112002220 in words is "one hundred ten billion, one hundred twelve million, two thousand, two hundred twenty".