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10023323313 = 363112834127
BaseRepresentation
bin10010101010110111…
…11100011010110001
3221212112122120200210
421111123330122301
5131011432321223
64334334334333
7503246561643
oct112533743261
927775576623
1010023323313
1142839a5183
121b3895a3a9
13c39795453
146b12b4893
153d9e68893
hex2556fc6b1

10023323313 has 16 divisors (see below), whose sum is σ = 13399289856. Its totient is φ = 6664810320.

The previous prime is 10023323291. The next prime is 10023323329. The reversal of 10023323313 is 31332332001.

It is not a de Polignac number, because 10023323313 - 25 = 10023323281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10023323313.

It is not an unprimeable number, because it can be changed into a prime (10023323113) 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 15 ways as a sum of consecutive naturals, for example, 2426656 + ... + 2430782.

It is an arithmetic number, because the mean of its divisors is an integer number (837455616).

Almost surely, 210023323313 is an apocalyptic number.

It is an amenable number.

10023323313 is a deficient number, since it is larger than the sum of its proper divisors (3375966543).

10023323313 is a wasteful number, since it uses less digits than its factorization.

10023323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10023323313 its reverse (31332332001), we get a palindrome (41355655314).

It can be divided in two parts, 10023 and 323313, that added together give a triangular number (333336 = T816).

The spelling of 10023323313 in words is "ten billion, twenty-three million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 3 631 1283 1893 3849 4127 12381 809573 2428719 2604137 5294941 7812411 15884823 3341107771 10023323313