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22312022313 = 374722605899
BaseRepresentation
bin10100110001111001…
…100111000100101001
32010120222000011121210
4110301321213010221
5331143334203223
614130000023333
71416625026510
oct246171470451
963528004553
1022312022313
11950a611669
1243a8301b49
13214769bc89
1411193a3677
158a8c14893
hex531e67129

22312022313 has 16 divisors (see below), whose sum is σ = 34722662400. Its totient is φ = 12478455696.

The previous prime is 22312022303. The next prime is 22312022329. The reversal of 22312022313 is 31322021322.

It is a happy number.

It is not a de Polignac number, because 22312022313 - 229 = 21775151401 is a prime.

It is a super-3 number, since 3×223120223133 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22312022313.

It is not an unprimeable number, because it can be changed into a prime (22312022303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11301963 + ... + 11303936.

It is an arithmetic number, because the mean of its divisors is an integer number (2170166400).

Almost surely, 222312022313 is an apocalyptic number.

It is an amenable number.

22312022313 is a deficient number, since it is larger than the sum of its proper divisors (12410640087).

22312022313 is a wasteful number, since it uses less digits than its factorization.

22312022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22605956.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22312022313 its reverse (31322021322), we get a palindrome (53634043635).

Subtracting 22312022313 from its reverse (31322021322), we obtain a palindrome (9009999009).

The spelling of 22312022313 in words is "twenty-two billion, three hundred twelve million, twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 47 141 329 987 22605899 67817697 158241293 474723879 1062477253 3187431759 7437340771 22312022313