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221022212002221 = 37731439100191983
BaseRepresentation
bin110010010000010010111110…
…011011110001000110101101
31001222120111221222022121120010
4302100102332123301012231
5212432211442233032341
62102024111422243433
764361220312110430
oct6220227633610655
91058514858277503
10221022212002221
1164473aa2702303
1220957703726579
1396433c758a716
143c81764293817
151a844656e5716
hexc904be6f11ad

221022212002221 has 32 divisors (see below), whose sum is σ = 341646650081280. Its totient is φ = 124481724580224.

The previous prime is 221022212002133. The next prime is 221022212002271. The reversal of 221022212002221 is 122200212220122.

221022212002221 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221022212002221 - 29 = 221022212001709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221022212002271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47890005 + ... + 52301978.

It is an arithmetic number, because the mean of its divisors is an integer number (10676457815040).

Almost surely, 2221022212002221 is an apocalyptic number.

221022212002221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

221022212002221 is a deficient number, since it is larger than the sum of its proper divisors (120624438079059).

221022212002221 is a wasteful number, since it uses less digits than its factorization.

221022212002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100193505.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 221022212002221 its reverse (122200212220122), we get a palindrome (343222424222343).

The spelling of 221022212002221 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twelve million, two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 73 219 511 1439 1533 4317 10073 30219 105047 315141 735329 2205987 100191983 300575949 701343881 2104031643 7314014759 21942044277 51198103313 144176263537 153594309939 432528790611 1009233844759 3027701534277 10524867238201 31574601714603 73674070667407 221022212002221