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221020111212102 = 232313710705226737
BaseRepresentation
bin110010010000010001000001…
…001101111000111001000110
31001222120022112120022102021200
4302100101001031320321012
5212432143141432241402
62102023123135123330
764361114252513046
oct6220210115707106
91058508476272250
10221020111212102
1164473114884624
1220957218073546
139643151284047
143c8160527d726
151a8439107421c
hexc90441378e46

221020111212102 has 48 divisors (see below), whose sum is σ = 507684672822912. Its totient is φ = 69369869249280.

The previous prime is 221020111212083. The next prime is 221020111212119. The reversal of 221020111212102 is 201212111020122.

221020111212102 is a `hidden beast` number, since 221 + 0 + 20 + 111 + 212 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5352592723 + ... + 5352634014.

It is an arithmetic number, because the mean of its divisors is an integer number (10576764017144).

Almost surely, 2221020111212102 is an apocalyptic number.

221020111212102 is an abundant number, since it is smaller than the sum of its proper divisors (286664561610810).

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

221020111212102 is a wasteful number, since it uses less digits than its factorization.

221020111212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10705226813 (or 10705226810 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221020111212102 its reverse (201212111020122), we get a palindrome (422232222232224).

The spelling of 221020111212102 in words is "two hundred twenty-one trillion, twenty billion, one hundred eleven million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 9 18 31 37 62 74 93 111 186 222 279 333 558 666 1147 2294 3441 6882 10323 20646 10705226737 21410453474 32115680211 64231360422 96347040633 192694081266 331862028847 396093389269 663724057694 792186778538 995586086541 1188280167807 1991172173082 2376560335614 2986758259623 3564840503421 5973516519246 7129681006842 12278895067339 24557790134678 36836685202017 73673370404034 110510055606051 221020111212102