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112022220221019 = 36532899350887
BaseRepresentation
bin11001011110001000110100…
…101001001010101001011011
3112200122012221010122211000000
4121132020310221022221123
5104140333001334033034
61034130144133144043
732411224022010243
oct3136106451125133
9480565833584000
10112022220221019
113276a3a19a09a9
12106927a6a8b023
134a6785b1a19b4
141d93c938d8b23
15ce3e4d31e599
hex65e234a4aa5b

112022220221019 has 28 divisors (see below), whose sum is σ = 171125488111536. Its totient is φ = 73272395590992.

The previous prime is 112022220220991. The next prime is 112022220221063. The reversal of 112022220221019 is 910122022220211.

112022220221019 is a `hidden beast` number, since 1 + 1 + 20 + 222 + 202 + 210 + 1 + 9 = 666.

It is not a de Polignac number, because 112022220221019 - 25 = 112022220220987 is a prime.

It is a super-2 number, since 2×1120222202210192 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112022220220983 and 112022220221001.

It is not an unprimeable number, because it can be changed into a prime (112022220221519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1449636807 + ... + 1449714080.

It is an arithmetic number, because the mean of its divisors is an integer number (6111624575412).

Almost surely, 2112022220221019 is an apocalyptic number.

112022220221019 is a deficient number, since it is larger than the sum of its proper divisors (59103267890517).

112022220221019 is an frugal number, since it uses more digits than its factorization.

112022220221019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899350958 (or 2899350943 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 112022220221019 in words is "one hundred twelve trillion, twenty-two billion, two hundred twenty million, two hundred twenty-one thousand, nineteen".

Divisors: 1 3 9 27 53 81 159 243 477 729 1431 4293 12879 38637 2899350887 8698052661 26094157983 78282473949 153665597011 234847421847 460996791033 704542265541 1382990373099 2113626796623 4148971119297 12446913357891 37340740073673 112022220221019