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221011022121021 = 32112232383645741
BaseRepresentation
bin110010010000001000100011…
…011101110000100000111101
31001222112110002010120202021200
4302100020203131300200331
5212432021033130333041
62102015021212250113
764360343105513166
oct6220104335604075
91058473063522250
10221011022121021
116446a280272a00
1220955500170939
13964233320c742
143c80dc20b676d
151a8400d14a1b6
hexc9022377083d

221011022121021 has 54 divisors (see below), whose sum is σ = 366817888818654. Its totient is φ = 128122331330400.

The previous prime is 221011022120983. The next prime is 221011022121049. The reversal of 221011022121021 is 120121220110122.

221011022121021 is a `hidden beast` number, since 2 + 210 + 1 + 1 + 0 + 221 + 210 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 199193846096025 + 21817176024996 = 14113605^2 + 4670886^2 .

It is not a de Polignac number, because 221011022121021 - 26 = 221011022120957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221011022120985 and 221011022121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011022121061) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 191246790 + ... + 192398951.

Almost surely, 2221011022121021 is an apocalyptic number.

It is an amenable number.

221011022121021 is a deficient number, since it is larger than the sum of its proper divisors (145806866697633).

221011022121021 is a wasteful number, since it uses less digits than its factorization.

221011022121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383645815 (or 383645778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221011022121021 its reverse (120121220110122), we get a palindrome (341132242231143).

The spelling of 221011022121021 in words is "two hundred twenty-one trillion, eleven billion, twenty-two million, one hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1587 2277 2783 4761 5819 8349 17457 25047 52371 64009 192027 576081 383645741 1150937223 3452811669 4220103151 8823852043 12660309453 26471556129 37980928359 46421134661 79414668387 97062372473 139263403983 202948596989 291187117419 417790211949 608845790967 873561352257 1067686097203 1826537372901 2232434566879 3203058291609 6697303700637 9609174874827 20091911101911 24556780235669 73670340707007 221011022121021