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10023133523 = 131894740693
BaseRepresentation
bin10010101010110110…
…01110000101010011
3221212112021221100112
421111123032011103
5131011410233043
64334330311535
7503245141424
oct112533160523
927775257315
1010023133523
114283885627
121b388885ab
13c39729c50
146b126564b
153d9e2c518
hex2556ce153

10023133523 has 8 divisors (see below), whose sum is σ = 10794978768. Its totient is φ = 9251407584.

The previous prime is 10023133507. The next prime is 10023133573. The reversal of 10023133523 is 32533132001.

10023133523 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10023133523 - 24 = 10023133507 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10023133573) 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 7 ways as a sum of consecutive naturals, for example, 225965 + ... + 266657.

It is an arithmetic number, because the mean of its divisors is an integer number (1349372346).

Almost surely, 210023133523 is an apocalyptic number.

10023133523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10023133523 is a deficient number, since it is larger than the sum of its proper divisors (771845245).

10023133523 is a wasteful number, since it uses less digits than its factorization.

10023133523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59653.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 10023133523 its reverse (32533132001), we get a palindrome (42556265524).

The spelling of 10023133523 in words is "ten billion, twenty-three million, one hundred thirty-three thousand, five hundred twenty-three".

Divisors: 1 13 18947 40693 246311 529009 771010271 10023133523