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220221101122022 = 271121310000050001
BaseRepresentation
bin110010000100101000111000…
…100000010010000111100110
31001212201221011011212022102102
4302010220320200102013212
5212331100303341401042
62100212102140012102
764246310116015550
oct6204507040220746
91055657134768372
10220221101122022
1164195276481900
12208483a9231032
1395b59b7420cb0
143c54a8859a4d0
151a6d6c9b1db32
hexc84a388121e6

220221101122022 has 48 divisors (see below), whose sum is σ = 446882234489376. Its totient is φ = 79200396000000.

The previous prime is 220221101122013. The next prime is 220221101122051.

220221101122022 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 220221101121985 and 220221101122003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5000002979 + ... + 5000047022.

It is an arithmetic number, because the mean of its divisors is an integer number (9310046551862).

Almost surely, 2220221101122022 is an apocalyptic number.

220221101122022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220221101122022 is an abundant number, since it is smaller than the sum of its proper divisors (226661133367354).

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

220221101122022 is a wasteful number, since it uses less digits than its factorization.

220221101122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000050045 (or 10000050034 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 22022110 and 1122022, that added together give a palindrome (23144132).

The spelling of 220221101122022 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 121 143 154 182 242 286 847 1001 1573 1694 2002 3146 11011 22022 10000050001 20000100002 70000350007 110000550011 130000650013 140000700014 220001100022 260001300026 770003850077 910004550091 1210006050121 1430007150143 1540007700154 1820009100182 2420012100242 2860014300286 8470042350847 10010050051001 15730078651573 16940084701694 20020100102002 31460157303146 110110550561011 220221101122022