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1110213889920 = 2735569110331
BaseRepresentation
bin10000001001111101111…
…001111000111110000000
310221010122201022010200000
4100021331321320332000
5121142204223434140
62210005240400000
7143132064234162
oct20117571707600
93833581263600
101110213889920
11398925885733
1215b200476000
1380900ba4015
143ba3dbc6932
151dd2c50da30
hex1027de78f80

1110213889920 has 384 divisors, whose sum is σ = 3981835428480. Its totient is φ = 295599974400.

The previous prime is 1110213889909. The next prime is 1110213889927. The reversal of 1110213889920 is 299883120111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110213889927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107459155 + ... + 107469485.

It is an arithmetic number, because the mean of its divisors is an integer number (10369363095).

Almost surely, 21110213889920 is an apocalyptic number.

1110213889920 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 1110213889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990917714240).

1110213889920 is an abundant number, since it is smaller than the sum of its proper divisors (2871621538560).

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

1110213889920 is an equidigital number, since it uses as much as digits as its factorization.

1110213889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11056 (or 11032 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 1110213889920 in words is "one trillion, one hundred ten billion, two hundred thirteen million, eight hundred eighty-nine thousand, nine hundred twenty".