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1109149009920 = 211335721931139
BaseRepresentation
bin10000001000111110011…
…011101100100000000000
310221000220111112121221000
4100020332123230200000
5121133014121304140
62205311440332000
7143063514012600
oct20107633544000
93830814477830
101109149009920
11398429778616
1215ab63914000
138079139b903
143b97c5cac00
151dcb8cb3a30
hex1023e6ec800

1109149009920 has 2304 divisors, whose sum is σ = 5019356160000. Its totient is φ = 230756843520.

The previous prime is 1109149009883. The next prime is 1109149009937. The reversal of 1109149009920 is 299009419011.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7979489211 + ... + 7979489349.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540000).

Almost surely, 21109149009920 is an apocalyptic number.

1109149009920 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 1109149009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509678080000).

1109149009920 is an abundant number, since it is smaller than the sum of its proper divisors (3910207150080).

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

1109149009920 is a wasteful number, since it uses less digits than its factorization.

1109149009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 1109149009920 in words is "one trillion, one hundred nine billion, one hundred forty-nine million, nine thousand, nine hundred twenty".