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111022041894372 = 223272731117771853
BaseRepresentation
bin11001001111100101010101…
…010111101000110111100100
3112120002121021222200110100100
4121033211111113220313210
5104022441120211104442
61032042453312344100
732246035460342400
oct3117452527506744
9476077258613310
10111022041894372
1132414202346614
1210550995245030
1349c4444c99b3b
141d5b6d1912100
15cc7e110d084c
hex64f9555e8de4

111022041894372 has 216 divisors, whose sum is σ = 331226389338936. Its totient is φ = 31258005359616.

The previous prime is 111022041894331. The next prime is 111022041894437. The reversal of 111022041894372 is 273498140220111.

111022041894372 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 204 + 1 + 8 + 9 + 437 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14538099648996 + 96483942245376 = 3812886^2 + 9822624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 143452398 + ... + 144224250.

Almost surely, 2111022041894372 is an apocalyptic number.

111022041894372 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 111022041894372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165613194669468).

111022041894372 is an abundant number, since it is smaller than the sum of its proper divisors (220204347444564).

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

111022041894372 is a wasteful number, since it uses less digits than its factorization.

111022041894372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773067 (or 773055 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 111022041894372 in words is "one hundred eleven trillion, twenty-two billion, forty-one million, eight hundred ninety-four thousand, three hundred seventy-two".