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10023400123 = 112973523823
BaseRepresentation
bin10010101010111000…
…01111001010111011
3221212112210111001121
421111130033022323
5131011442300443
64334340130111
7503250331612
oct112534171273
927775714047
1010023400123
114283a47960
121b38996937
13c397c13b9
146b12d4879
153d9e814ed
hex25570f2bb

10023400123 has 32 divisors (see below), whose sum is σ = 11502512640. Its totient is φ = 8650333440.

The previous prime is 10023400111. The next prime is 10023400133. The reversal of 10023400123 is 32100432001.

It is a happy number.

It is not a de Polignac number, because 10023400123 - 217 = 10023269051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10023400097 and 10023400106.

It is not an unprimeable number, because it can be changed into a prime (10023400133) 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 31 ways as a sum of consecutive naturals, for example, 12178690 + ... + 12179512.

It is an arithmetic number, because the mean of its divisors is an integer number (359453520).

Almost surely, 210023400123 is an apocalyptic number.

10023400123 is a deficient number, since it is larger than the sum of its proper divisors (1479112517).

10023400123 is a wasteful number, since it uses less digits than its factorization.

10023400123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10023400123 its reverse (32100432001), we get a palindrome (42123832124).

The spelling of 10023400123 in words is "ten billion, twenty-three million, four hundred thousand, one hundred twenty-three".

Divisors: 1 11 29 73 319 523 803 823 2117 5753 9053 15167 23287 23867 38179 60079 166837 262537 419969 430429 660869 1107191 1742291 4734719 12179101 12482441 19165201 31421317 137306851 345634487 911218193 10023400123