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221002020121221 = 3224555780013469
BaseRepresentation
bin110010010000000000001010…
…111001110110101010000101
31001222111120211202201210001200
4302100000022321312222011
5212431344114122334341
62102010532040213113
764356604040002623
oct6220001271665205
91058446752653050
10221002020121221
1164466480936249
122095380946a199
13964152a20c141
143c807aa700513
151a83b82bc5db6
hexc9000ae76a85

221002020121221 has 6 divisors (see below), whose sum is σ = 319225140175110. Its totient is φ = 147334680080808.

The previous prime is 221002020121199. The next prime is 221002020121243. The reversal of 221002020121221 is 122121020200122.

It is a happy number.

221002020121221 is a `hidden beast` number, since 2 + 210 + 0 + 20 + 201 + 212 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (221002020121199) and next prime (221002020121243).

It can be written as a sum of positive squares in only one way, i.e., 208552907532321 + 12449112588900 = 14441361^2 + 3528330^2 .

It is not a de Polignac number, because 221002020121221 - 27 = 221002020121093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221002020121194 and 221002020121203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221002020121291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12277890006726 + ... + 12277890006743.

It is an arithmetic number, because the mean of its divisors is an integer number (53204190029185).

Almost surely, 2221002020121221 is an apocalyptic number.

It is an amenable number.

221002020121221 is a deficient number, since it is larger than the sum of its proper divisors (98223120053889).

221002020121221 is a wasteful number, since it uses less digits than its factorization.

221002020121221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24555780013475 (or 24555780013472 counting only the distinct ones).

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

Adding to 221002020121221 its reverse (122121020200122), we get a palindrome (343123040321343).

The spelling of 221002020121221 in words is "two hundred twenty-one trillion, two billion, twenty million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 24555780013469 73667340040407 221002020121221