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23011022313 = 322324833233
BaseRepresentation
bin10101011011100100…
…000101010111101001
32012101200022001100200
4111123210011113221
5334111310203223
614323210022413
71443143314416
oct253344052751
965350261320
1023011022313
119839138714
124562417a09
13222944b146
14118415b10d
158ea28aa43
hex55b9055e9

23011022313 has 18 divisors (see below), whose sum is σ = 34746119226. Its totient is φ = 14673692352.

The previous prime is 23011022269. The next prime is 23011022317. The reversal of 23011022313 is 31322011032.

It can be written as a sum of positive squares in only one way, i.e., 18910925289 + 4100097024 = 137517^2 + 64032^2 .

It is not a de Polignac number, because 23011022313 - 220 = 23009973737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23011022317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2411856 + ... + 2421377.

It is an arithmetic number, because the mean of its divisors is an integer number (1930339957).

Almost surely, 223011022313 is an apocalyptic number.

23011022313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23011022313 is a deficient number, since it is larger than the sum of its proper divisors (11735096913).

23011022313 is a wasteful number, since it uses less digits than its factorization.

23011022313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833285 (or 4833259 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23011022313 its reverse (31322011032), we get a palindrome (54333033345).

The spelling of 23011022313 in words is "twenty-three billion, eleven million, twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 23 69 207 529 1587 4761 4833233 14499699 43499097 111164359 333493077 1000479231 2556780257 7670340771 23011022313