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110021000112 = 24341723217117
BaseRepresentation
bin110011001110111000…
…0110011101110110000
3101111222112220220010000
41212131300303232300
53300310334000422
6122313135510000
710643265033162
oct1463560635660
9344875826100
10110021000112
1142728a93881
12193a5988300
13a4b49705ca
145479ccc932
152cddd94cac
hex199dc33bb0

110021000112 has 200 divisors, whose sum is σ = 351824954976. Its totient is φ = 33015527424.

The previous prime is 110021000099. The next prime is 110021000113. The reversal of 110021000112 is 211000120011.

It is a happy number.

110021000112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110021000094 and 110021000103.

It is not an unprimeable number, because it can be changed into a prime (110021000113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398178 + ... + 615294.

Almost surely, 2110021000112 is an apocalyptic number.

110021000112 is a gapful number since it is divisible by the number (12) 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 110021000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175912477488).

110021000112 is an abundant number, since it is smaller than the sum of its proper divisors (241803954864).

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

110021000112 is a wasteful number, since it uses less digits than its factorization.

110021000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217177 (or 217162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110021000112 its reverse (211000120011), we get a palindrome (321021120123).

The spelling of 110021000112 in words is "one hundred ten billion, twenty-one million, one hundred twelve", and thus it is an aban number.