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22313131201 = 173255750441
BaseRepresentation
bin10100110001111101…
…110101110011000001
32010121001002111201201
4110301331311303001
5331144130144301
614130035501201
71416640325434
oct246175656301
963531074651
1022313131201
1195101a97a9
1243a8757801
13214799991a
1411195b181b
158a8d83201
hex531f75cc1

22313131201 has 8 divisors (see below), whose sum is σ = 22451330664. Its totient is φ = 22175038080.

The previous prime is 22313131177. The next prime is 22313131219. The reversal of 22313131201 is 10213131322.

It can be written as a sum of positive squares in 4 ways, for example, as 11723692176 + 10589439025 = 108276^2 + 102905^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22313131201 - 27 = 22313131073 is a prime.

It is a super-3 number, since 3×223131312013 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22313131301) 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 7 ways as a sum of consecutive naturals, for example, 417141 + ... + 467581.

It is an arithmetic number, because the mean of its divisors is an integer number (2806416333).

Almost surely, 222313131201 is an apocalyptic number.

It is an amenable number.

22313131201 is a deficient number, since it is larger than the sum of its proper divisors (138199463).

22313131201 is a wasteful number, since it uses less digits than its factorization.

22313131201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53171.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 22313131201 its reverse (10213131322), we get a palindrome (32526262523).

The spelling of 22313131201 in words is "twenty-two billion, three hundred thirteen million, one hundred thirty-one thousand, two hundred one".

Divisors: 1 173 2557 50441 442361 8726293 128977637 22313131201