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1109019985920 = 2113257111729317
BaseRepresentation
bin10000001000110110101…
…111100000100000000000
310221000120111202112021100
4100020312233200200000
5121132233104022140
62205250551054400
7143060356225410
oct20106657404000
93830514675240
101109019985920
11398372962a10
1215ab28671400
1380770735452
143b969402640
151dcac7c9530
hex10236be0800

1109019985920 has 2304 divisors, whose sum is σ = 5265512179200. Its totient is φ = 208750510080.

The previous prime is 1109019985837. The next prime is 1109019985933. The reversal of 1109019985920 is 295899109011.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3498485602 + ... + 3498485918.

It is an arithmetic number, because the mean of its divisors is an integer number (2285378550).

Almost surely, 21109019985920 is an apocalyptic number.

1109019985920 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 1109019985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632756089600).

1109019985920 is an abundant number, since it is smaller than the sum of its proper divisors (4156492193280).

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

1109019985920 is a wasteful number, since it uses less digits than its factorization.

1109019985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 54.

The spelling of 1109019985920 in words is "one trillion, one hundred nine billion, nineteen million, nine hundred eighty-five thousand, nine hundred twenty".