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222100221210021 = 327111151278445647
BaseRepresentation
bin110010011111111110111100…
…110010100010110110100101
31002010101120111021211101112200
4302133332330302202312211
5213102342223112210041
62104211233313005113
764532132346146250
oct6237767462426645
91063346437741480
10222100221210021
116484a1a1806670
1220ab0616853799
1396c0c653b8acb
143cbb9cacd6097
151aa250a7861b6
hexc9ffbcca2da5

222100221210021 has 48 divisors (see below), whose sum is σ = 400320194347008. Its totient is φ = 115276497444000.

The previous prime is 222100221210001. The next prime is 222100221210097. The reversal of 222100221210021 is 120012122001222.

It is a happy number.

222100221210021 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 221 + 210 + 0 + 21 = 666.

It is not a de Polignac number, because 222100221210021 - 230 = 222099147468197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222100221209976 and 222100221210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222100221210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138425181 + ... + 140020466.

It is an arithmetic number, because the mean of its divisors is an integer number (8340004048896).

Almost surely, 2222100221210021 is an apocalyptic number.

222100221210021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222100221210021 is a deficient number, since it is larger than the sum of its proper divisors (178219973136987).

222100221210021 is a wasteful number, since it uses less digits than its factorization.

222100221210021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278446822 (or 278446819 counting only the distinct ones).

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

Adding to 222100221210021 its reverse (120012122001222), we get a palindrome (342112343211243).

The spelling of 222100221210021 in words is "two hundred twenty-two trillion, one hundred billion, two hundred twenty-one million, two hundred ten thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1151 3453 8057 10359 12661 24171 37983 72513 88627 113949 265881 797643 278445647 835336941 1949119529 2506010823 3062902117 5847358587 9188706351 17542075761 21440314819 27566119053 64320944457 192962833371 320490939697 961472819091 2243436577879 2884418457273 3525400336667 6730309733637 10576201010001 20190929200911 24677802356669 31728603030003 74033407070007 222100221210021