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222010022112021 = 3211131743235980793
BaseRepresentation
bin110010011110101010111100…
…100000010010101100010101
31002010001221200011022110022100
4302132222330200102230111
5213044403011130041041
62104101555101152313
764522460211363123
oct6236527440225425
91063057604273270
10222010022112021
1164814a15769280
1220a9704325b699
1396b55bc266c80
143cb74b17ac913
151a9eecbbcc6b6
hexc9eabc812b15

222010022112021 has 96 divisors (see below), whose sum is σ = 408182586844032. Its totient is φ = 114176946401280.

The previous prime is 222010022112017. The next prime is 222010022112071. The reversal of 222010022112021 is 120211220010222.

It is a happy number.

222010022112021 is a `hidden beast` number, since 2 + 220 + 100 + 221 + 120 + 2 + 1 = 666.

It is not a de Polignac number, because 222010022112021 - 22 = 222010022112017 is a prime.

It is a super-2 number, since 2×2220100221120212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222010022111985 and 222010022112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222010022112071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117049600 + ... + 118931193.

It is an arithmetic number, because the mean of its divisors is an integer number (4251901946292).

Almost surely, 2222010022112021 is an apocalyptic number.

It is an amenable number.

222010022112021 is a deficient number, since it is larger than the sum of its proper divisors (186172564732011).

222010022112021 is a wasteful number, since it uses less digits than its factorization.

222010022112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235980883 (or 235980880 counting only the distinct ones).

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

Adding to 222010022112021 its reverse (120211220010222), we get a palindrome (342221242122243).

The spelling of 222010022112021 in words is "two hundred twenty-two trillion, ten billion, twenty-two million, one hundred twelve thousand, twenty-one".

Divisors: 1 3 9 11 13 17 33 39 43 51 99 117 129 143 153 187 221 387 429 473 559 561 663 731 1287 1419 1677 1683 1989 2193 2431 4257 5031 6149 6579 7293 8041 9503 18447 21879 24123 28509 55341 72369 85527 104533 313599 940797 235980793 707942379 2123827137 2595788723 3067750309 4011673481 7787366169 9203250927 10147174099 12035020443 23362098507 27609752781 30441522297 33745253399 36105061329 44128408291 52151755253 91324566891 101235760197 111618915089 131913263287 132385224873 156455265759 172501959683 303707280591 334856745267 395739789861 397155674619 469365797277 517505879049 573669307783 1004570235801 1187219369583 1451045896157 1552517637147 1721007923349 1897521556513 2242525475879 4353137688471 5163023770047 5692564669539 6727576427637 13059413065413 17077694008617 20182729282911 24667780234669 74003340704007 222010022112021