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110112210120 = 2335111973137439
BaseRepresentation
bin110011010001100110…
…0101111110011001000
3101112012220112211201110
41212203030233303020
53301002211210440
6122330154450320
710645453225443
oct1464314576310
9345186484643
10110112210120
1142775521250
12194104339a0
13a4ca827223
14548807265a
152ce6db0080
hex19a332fcc8

110112210120 has 512 divisors, whose sum is σ = 388219392000. Its totient is φ = 24704040960.

The previous prime is 110112210083. The next prime is 110112210133. The reversal of 110112210120 is 21012211011.

It is a super-2 number, since 2×1101122101202 (a number of 23 digits) contains 22 as substring.

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 = 110112210096 and 110112210105.

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 127 ways as a sum of consecutive naturals, for example, 250824861 + ... + 250825299.

It is an arithmetic number, because the mean of its divisors is an integer number (758241000).

Almost surely, 2110112210120 is an apocalyptic number.

110112210120 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 110112210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194109696000).

110112210120 is an abundant number, since it is smaller than the sum of its proper divisors (278107181880).

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

110112210120 is a wasteful number, since it uses less digits than its factorization.

110112210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110112210120 its reverse (21012211011), we get a palindrome (131124421131).

It can be divided in two parts, 1101 and 12210120, that added together give a palindrome (12211221).

The spelling of 110112210120 in words is "one hundred ten billion, one hundred twelve million, two hundred ten thousand, one hundred twenty".