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221310220320018 = 23238233216063887
BaseRepresentation
bin110010010100011111001101…
…000100010011110100010010
31002000121001100202210001211100
4302110133031010103310102
5213001421312400220033
62102404302304125230
764421064366321354
oct6224371504236422
91060531322701740
10221310220320018
1164575156909245
12209a34a1006816
139664605ba778b
143c916869410d4
151a8bbc0228513
hexc947cd113d12

221310220320018 has 24 divisors (see below), whose sum is σ = 479630904000768. Its totient is φ = 73750777033752.

The previous prime is 221310220319983. The next prime is 221310220320019. The reversal of 221310220320018 is 810023022013122.

221310220320018 is a `hidden beast` number, since 2 + 2 + 1 + 310 + 2 + 20 + 320 + 0 + 1 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221310220319973 and 221310220320000.

It is not an unprimeable number, because it can be changed into a prime (221310220320019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1607963130 + ... + 1608100757.

It is an arithmetic number, because the mean of its divisors is an integer number (19984621000032).

Almost surely, 2221310220320018 is an apocalyptic number.

221310220320018 is an abundant number, since it is smaller than the sum of its proper divisors (258320683680750).

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

221310220320018 is a wasteful number, since it uses less digits than its factorization.

221310220320018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3216067718 (or 3216067715 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 221310220320018 in words is "two hundred twenty-one trillion, three hundred ten billion, two hundred twenty million, three hundred twenty thousand, eighteen".

Divisors: 1 2 3 6 9 18 3823 7646 11469 22938 34407 68814 3216063887 6432127774 9648191661 19296383322 28944574983 57889149966 12295012240001 24590024480002 36885036720003 73770073440006 110655110160009 221310220320018