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201220011221022 = 23310164279573967
BaseRepresentation
bin101101110000001000101111…
…010010100110000000011110
3222101110110000112222112011000
4231300020233102212000132
5202333242040333033042
61551543110320011130
760245444313511023
oct5560105722460036
9871413015875130
10201220011221022
1159129a225a2a32
121a699952760aa6
138837c7267ca71
143799159b1554a
15183e2da9b074c
hexb7022f4a601e

201220011221022 has 64 divisors (see below), whose sum is σ = 451590675609600. Its totient is φ = 66408095786400.

The previous prime is 201220011220979. The next prime is 201220011221051. The reversal of 201220011221022 is 220122110022102.

It is a happy number.

201220011221022 is a `hidden beast` number, since 201 + 220 + 0 + 1 + 1 + 221 + 0 + 22 = 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 = 201220011220986 and 201220011221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350290683 + ... + 350864649.

It is an arithmetic number, because the mean of its divisors is an integer number (7056104306400).

Almost surely, 2201220011221022 is an apocalyptic number.

201220011221022 is an abundant number, since it is smaller than the sum of its proper divisors (250370664388578).

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

201220011221022 is a wasteful number, since it uses less digits than its factorization.

201220011221022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638358 (or 638352 counting only the distinct ones).

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

Adding to 201220011221022 its reverse (220122110022102), we get a palindrome (421342121243124).

The spelling of 201220011221022 in words is "two hundred one trillion, two hundred twenty billion, eleven million, two hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 5454 64279 128558 192837 385674 573967 578511 1147934 1157022 1721901 1735533 3443802 3471066 5165703 6492179 10331406 12984358 15497109 19476537 30994218 38953074 57970667 58429611 115941334 116859222 173912001 175288833 347824002 350577666 521736003 1043472006 1565208009 3130416018 36894024793 73788049586 110682074379 221364148758 332046223137 664092446274 996138669411 1992277338822 3726296504093 7452593008186 11178889512279 22357779024558 33536668536837 67073337073674 100610005610511 201220011221022