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110120020992 = 210341797417
BaseRepresentation
bin110011010001110101…
…0100010110000000000
3101112020110020200020000
41212203222202300000
53301011211132432
6122331034120000
710645606506612
oct1464352426000
9345213220200
10110120020992
1142779976713
1219412b80000
13a4cc330547
145489106db2
152ce790457c
hex19a3aa2c00

110120020992 has 220 divisors, whose sum is σ = 330721589880. Its totient is φ = 36496687104.

The previous prime is 110120020991. The next prime is 110120020999. The reversal of 110120020992 is 299020021011.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110120020991) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14843268 + ... + 14850684.

It is an arithmetic number, because the mean of its divisors is an integer number (1503279954).

Almost surely, 2110120020992 is an apocalyptic number.

110120020992 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 110120020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165360794940).

110120020992 is an abundant number, since it is smaller than the sum of its proper divisors (220601568888).

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

110120020992 is an equidigital number, since it uses as much as digits as its factorization.

110120020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The spelling of 110120020992 in words is "one hundred ten billion, one hundred twenty million, twenty thousand, nine hundred ninety-two".