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10023223113 = 326134952313
BaseRepresentation
bin10010101010110111…
…00011111101001001
3221212112110111020200
421111123203331021
5131011421114423
64334332242413
7503245663551
oct112533437511
927775414220
1010023223113
114283936972
121b38910409
13c3975b967
146b128a161
153d9e48d43
hex2556e3f49

10023223113 has 24 divisors (see below), whose sum is σ = 14757779400. Its totient is φ = 6553647360.

The previous prime is 10023223079. The next prime is 10023223123. The reversal of 10023223113 is 31132232001.

It can be written as a sum of positive squares in 4 ways, for example, as 2156952249 + 7866270864 = 46443^2 + 88692^2 .

It is not a de Polignac number, because 10023223113 - 210 = 10023222089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10023223123) 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 23 ways as a sum of consecutive naturals, for example, 165445 + ... + 217757.

It is an arithmetic number, because the mean of its divisors is an integer number (614907475).

Almost surely, 210023223113 is an apocalyptic number.

It is an amenable number.

10023223113 is a deficient number, since it is larger than the sum of its proper divisors (4734556287).

10023223113 is a wasteful number, since it uses less digits than its factorization.

10023223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52729 (or 52726 counting only the distinct ones).

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

Adding to 10023223113 its reverse (31132232001), we get a palindrome (41155455114).

The spelling of 10023223113 in words is "ten billion, twenty-three million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 3 9 61 183 349 549 1047 3141 21289 52313 63867 156939 191601 470817 3191093 9573279 18257237 28719837 54771711 164315133 1113691457 3341074371 10023223113