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202220012101122 = 232191984692979239
BaseRepresentation
bin101101111110101100000011…
…111111001101111000000010
3222112000001012100001122220100
4231332230003333031320002
5203001133041044213442
61554030331401223230
760410625261653661
oct5576540377157002
9875001170048810
10202220012101122
1159485030a6a084
121a81b714a91b16
1388ab35ab96072
1437d170230add8
15185a31734c84c
hexb7eb03fcde02

202220012101122 has 48 divisors (see below), whose sum is σ = 461206014984000. Its totient is φ = 63858607997472.

The previous prime is 202220012101099. The next prime is 202220012101127. The reversal of 202220012101122 is 221101210022202.

It is a happy number.

202220012101122 is a `hidden beast` number, since 202 + 220 + 0 + 1 + 210 + 11 + 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 = 202220012101095 and 202220012101104.

It is not an unprimeable number, because it can be changed into a prime (202220012101127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66386779 + ... + 69366017.

It is an arithmetic number, because the mean of its divisors is an integer number (9608458645500).

Almost surely, 2202220012101122 is an apocalyptic number.

202220012101122 is an abundant number, since it is smaller than the sum of its proper divisors (258986002882878).

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

202220012101122 is a wasteful number, since it uses less digits than its factorization.

202220012101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177735 (or 3177732 counting only the distinct ones).

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

Adding to 202220012101122 its reverse (221101210022202), we get a palindrome (423321222123324).

The spelling of 202220012101122 in words is "two hundred two trillion, two hundred twenty billion, twelve million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 198469 396938 595407 1190814 1786221 2979239 3572442 3770911 5958478 7541822 8937717 11312733 17875434 22625466 26813151 33938199 53626302 56605541 67876398 113211082 169816623 339633246 509449869 1018899738 591286585091 1182573170182 1773859755273 3547719510546 5321579265819 10643158531638 11234445116729 22468890233458 33703335350187 67406670700374 101110006050561 202220012101122