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23003013 = 3112330307
BaseRepresentation
bin101011110111…
…1111110000101
31121021200012110
41113233332011
521342044023
62141011233
7366344115
oct127577605
947250173
1023003013
1111a91560
127853b19
1349c5267
1430ab045
152045a93
hex15eff85

23003013 has 16 divisors (see below), whose sum is σ = 34914816. Its totient is φ = 13334640.

The previous prime is 23002999. The next prime is 23003021. The reversal of 23003013 is 31030032.

It is a happy number.

It is not a de Polignac number, because 23003013 - 26 = 23002949 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23003013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23003083) 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, 14395 + ... + 15912.

It is an arithmetic number, because the mean of its divisors is an integer number (2182176).

Almost surely, 223003013 is an apocalyptic number.

23003013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23003013 is a deficient number, since it is larger than the sum of its proper divisors (11911803).

23003013 is a wasteful number, since it uses less digits than its factorization.

23003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344.

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 23003013 is about 4796.1456399905. The cubic root of 23003013 is about 284.3991156621.

Adding to 23003013 its reverse (31030032), we get a palindrome (54033045).

The spelling of 23003013 in words is "twenty-three million, three thousand, thirteen".

Divisors: 1 3 11 23 33 69 253 759 30307 90921 333377 697061 1000131 2091183 7667671 23003013