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2111055104000 = 2115317509953
BaseRepresentation
bin11110101110000100101…
…100001000100000000000
321110211000001121122221002
4132232010230020200000
5234041420101312000
64253445541151132
7305342625212333
oct36560454104000
97424001548832
102111055104000
11744325631177
122a11780bb4a8
131240c1522a6b
1474265c4661a
1539da7a3d8d5
hex1eb84b08800

2111055104000 has 384 divisors, whose sum is σ = 5594606690400. Its totient is φ = 792356454400.

The previous prime is 2111055103999. The next prime is 2111055104047. The reversal of 2111055104000 is 4015501112.

It can be written as a sum of positive squares in 16 ways, for example, as 8137483264 + 2102917620736 = 90208^2 + 1450144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2215167524 + ... + 2215168476.

Almost surely, 22111055104000 is an apocalyptic number.

2111055104000 is a gapful number since it is divisible by the number (20) 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 2111055104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797303345200).

2111055104000 is an abundant number, since it is smaller than the sum of its proper divisors (3483551586400).

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

2111055104000 is an equidigital number, since it uses as much as digits as its factorization.

2111055104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The spelling of 2111055104000 in words is "two trillion, one hundred eleven billion, fifty-five million, one hundred four thousand".