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222010000010201 = 13113160637940817
BaseRepresentation
bin110010011110101010111011…
…001011111110101111011001
31002010001221121121201120022102
4302132222323023332233121
5213044402440000311301
62104101552551333145
764522456522461254
oct6236527313765731
91063057547646272
10222010000010201
1164814a04242907
1220a970379811b5
1396b55b77c8c80
143cb74ac89809b
151a9eec9cb3b6b
hexc9eabb2febd9

222010000010201 has 16 divisors (see below), whose sum is σ = 241205270526864. Its totient is φ = 203117267103744.

The previous prime is 222010000010177. The next prime is 222010000010233. The reversal of 222010000010201 is 102010000010222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 85661781283225 + 136348218726976 = 9255365^2 + 11676824^2 .

It is a cyclic number.

It is not a de Polignac number, because 222010000010201 - 246 = 151641255832537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222010000010261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235505345 + ... + 236446161.

It is an arithmetic number, because the mean of its divisors is an integer number (15075329407929).

Almost surely, 2222010000010201 is an apocalyptic number.

It is an amenable number.

222010000010201 is a deficient number, since it is larger than the sum of its proper divisors (19195270516663).

222010000010201 is a wasteful number, since it uses less digits than its factorization.

222010000010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101580.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 222010000010201 its reverse (102010000010222), we get a palindrome (324020000020423).

The spelling of 222010000010201 in words is "two hundred twenty-two trillion, ten billion, ten thousand, two hundred one".

Divisors: 1 13 113 1469 160637 940817 2088281 12230621 18151981 106312321 235975753 1382060173 151130020429 1964690265577 17077692308477 222010000010201