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221020122201102 = 2327337967527829
BaseRepresentation
bin110010010000010001000001…
…110111110011110000001110
31001222120022120022222201100200
4302100101001313303300032
5212432143202240413402
62102023124210434330
764361114445102000
oct6220210167636016
91058508508881320
10221020122201102
116447311aaaa844
122095721b8929a6
139643153630b03
143c81606900370
151a84391ee521c
hexc90441df3c0e

221020122201102 has 96 divisors (see below), whose sum is σ = 573550497624000. Its totient is φ = 61441887189312.

The previous prime is 221020122201097. The next prime is 221020122201127. The reversal of 221020122201102 is 201102221020122.

It is a happy number.

221020122201102 is a `hidden beast` number, since 221 + 0 + 20 + 122 + 201 + 102 = 666.

It is a super-2 number, since 2×2210201222011022 (a number of 29 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483535477 + ... + 483992352.

It is an arithmetic number, because the mean of its divisors is an integer number (5974484350250).

Almost surely, 2221020122201102 is an apocalyptic number.

221020122201102 is an abundant number, since it is smaller than the sum of its proper divisors (352530375422898).

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

221020122201102 is a wasteful number, since it uses less digits than its factorization.

221020122201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967527895 (or 967527878 counting only the distinct ones).

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

Adding to 221020122201102 its reverse (201102221020122), we get a palindrome (422122343221224).

It can be divided in two parts, 221020122 and 201102, that multiplied together give a palindrome (44447588574444).

The spelling of 221020122201102 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-two million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 49 63 74 98 111 126 147 222 259 294 333 343 441 518 666 686 777 882 1029 1554 1813 2058 2331 3087 3626 4662 5439 6174 10878 12691 16317 25382 32634 38073 76146 114219 228438 967527829 1935055658 2902583487 5805166974 6772694803 8707750461 13545389606 17415500922 20318084409 35798529673 40636168818 47408863621 60954253227 71597059346 94817727242 107395589019 121908506454 142226590863 214791178038 250589707711 284453181726 322186767057 331862045347 426679772589 501179415422 644373534114 663724090694 751769123133 853359545178 995586136041 1503538246266 1754127953977 1991172272082 2255307369399 2986758408123 3508255907954 4510614738798 5262383861931 5973516816246 10524767723862 12278895677839 15787151585793 24557791355678 31574303171586 36836687033517 73673374067034 110510061100551 221020122201102