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221020100212122 = 2334092964818743
BaseRepresentation
bin110010010000010001000000…
…100011111011010110011010
31001222120022111210121120011000
4302100101000203323112122
5212432143131123241442
62102023122103245430
764361114060150121
oct6220210043732632
91058508453546130
10221020100212122
1164473109651132
1220957214449876
13964314bc02293
143c81603a18ab8
151a843900eed4c
hexc904408fb59a

221020100212122 has 16 divisors (see below), whose sum is σ = 491155778249280. Its totient is φ = 73673366737356.

The previous prime is 221020100212117. The next prime is 221020100212139. The reversal of 221020100212122 is 221212001020122.

It is a happy number.

221020100212122 is a `hidden beast` number, since 2 + 210 + 20 + 100 + 212 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221020100212095 and 221020100212104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2046482409318 + ... + 2046482409425.

It is an arithmetic number, because the mean of its divisors is an integer number (30697236140580).

Almost surely, 2221020100212122 is an apocalyptic number.

221020100212122 is an abundant number, since it is smaller than the sum of its proper divisors (270135678037158).

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

221020100212122 is a wasteful number, since it uses less digits than its factorization.

221020100212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092964818754 (or 4092964818748 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221020100212122 its reverse (221212001020122), we get a palindrome (442232101232244).

The spelling of 221020100212122 in words is "two hundred twenty-one trillion, twenty billion, one hundred million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 4092964818743 8185929637486 12278894456229 24557788912458 36836683368687 73673366737374 110510050106061 221020100212122