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10022313 = 372292351
BaseRepresentation
bin100110001110…
…110110101001
3200212012000210
4212032312221
510031203223
6554451333
7151121400
oct46166651
920765023
1010022313
115725a04
123433b49
1320cba82
14148c637
15d2e893
hex98eda9

10022313 has 24 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 5527200.

The previous prime is 10022303. The next prime is 10022321. The reversal of 10022313 is 31322001.

It is a happy number.

It is not a de Polignac number, because 10022313 - 25 = 10022281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10022303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3088 + ... + 5438.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 210022313 is an apocalyptic number.

It is an amenable number.

10022313 is a deficient number, since it is larger than the sum of its proper divisors (6065367).

10022313 is a wasteful number, since it uses less digits than its factorization.

10022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10022313 is about 3165.8036894286. The cubic root of 10022313 is about 215.6035896406.

Adding to 10022313 its reverse (31322001), we get a palindrome (41344314).

The spelling of 10022313 in words is "ten million, twenty-two thousand, three hundred thirteen".

Divisors: 1 3 7 21 29 49 87 147 203 609 1421 2351 4263 7053 16457 49371 68179 115199 204537 345597 477253 1431759 3340771 10022313