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221022102201121 = 13157381772836553
BaseRepresentation
bin110010010000010010110111…
…111000111010001100100001
31001222120111200022201010202201
4302100102313320322030201
5212432211231130413441
62102024052501013201
764361214506604544
oct6220226770721441
91058514608633681
10221022102201121
1164473a467270a1
12209576929b4201
1396433aa8c4a60
143c8175387085b
151a8445ac56c31
hexc904b7e3a321

221022102201121 has 16 divisors (see below), whose sum is σ = 239546236449744. Its totient is φ = 202715527532544.

The previous prime is 221022102201001. The next prime is 221022102201139. The reversal of 221022102201121 is 121102201220122.

It can be written as a sum of positive squares in 8 ways, for example, as 84572136008721 + 136449966192400 = 9196311^2 + 11681180^2 .

It is not a de Polignac number, because 221022102201121 - 227 = 221021967983393 is a prime.

It is a super-2 number, since 2×2210221022011212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221022102208121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76500981 + ... + 79337533.

It is an arithmetic number, because the mean of its divisors is an integer number (14971639778109).

Almost surely, 2221022102201121 is an apocalyptic number.

It is an amenable number.

221022102201121 is a deficient number, since it is larger than the sum of its proper divisors (18524134248623).

221022102201121 is a wasteful number, since it uses less digits than its factorization.

221022102201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2874900.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221022102201121 its reverse (121102201220122), we get a palindrome (342124303421243).

The spelling of 221022102201121 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred two million, two hundred one thousand, one hundred twenty-one".

Divisors: 1 13 157 2041 38177 496301 2836553 5993789 36875189 77919257 445338821 5789404673 108291083881 1407784090453 17001700169317 221022102201121