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22002321321 = 323766073037
BaseRepresentation
bin10100011111011100…
…001100011110101001
32002210101020201201200
4110133130030132221
5330030043240241
614035134034413
71406144434251
oct243734143651
962711221650
1022002321321
119370811732
124320648a09
1320c8485756
1410ca1c6961
1588b93b4b6
hex51f70c7a9

22002321321 has 12 divisors (see below), whose sum is σ = 32640080772. Its totient is φ = 14271775776.

The previous prime is 22002321311. The next prime is 22002321353. The reversal of 22002321321 is 12312320022.

22002321321 is a `hidden beast` number, since 2 + 20 + 0 + 2 + 321 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16382720025 + 5619601296 = 127995^2 + 74964^2 .

It is not a de Polignac number, because 22002321321 - 225 = 21968766889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002321294 and 22002321303.

It is not an unprimeable number, because it can be changed into a prime (22002321301) 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 11 ways as a sum of consecutive naturals, for example, 33036186 + ... + 33036851.

It is an arithmetic number, because the mean of its divisors is an integer number (2720006731).

Almost surely, 222002321321 is an apocalyptic number.

It is an amenable number.

22002321321 is a deficient number, since it is larger than the sum of its proper divisors (10637759451).

22002321321 is a wasteful number, since it uses less digits than its factorization.

22002321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66073080 (or 66073077 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22002321321 its reverse (12312320022), we get a palindrome (34314641343).

The spelling of 22002321321 in words is "twenty-two billion, two million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 37 111 333 66073037 198219111 594657333 2444702369 7334107107 22002321321