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10523126142 = 2323118858649
BaseRepresentation
bin10011100110011101…
…00010100101111110
31000011101010012021200
421303032202211332
5133022410014032
64500111040330
7521526045024
oct116316424576
930141105250
1010523126142
114510037471
1220582100a6
13cb91ab879
1471b818714
15418c9347c
hex2733a297e

10523126142 has 24 divisors (see below), whose sum is σ = 23535595200. Its totient is φ = 3394556640.

The previous prime is 10523126137. The next prime is 10523126143. The reversal of 10523126142 is 24162132501.

10523126142 is a `hidden beast` number, since 1 + 0 + 523 + 126 + 14 + 2 = 666.

It is a super-2 number, since 2×105231261422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10523126143) 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 11 ways as a sum of consecutive naturals, for example, 9428767 + ... + 9429882.

It is an arithmetic number, because the mean of its divisors is an integer number (980649800).

Almost surely, 210523126142 is an apocalyptic number.

10523126142 is an abundant number, since it is smaller than the sum of its proper divisors (13012469058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10523126142 is a wasteful number, since it uses less digits than its factorization.

10523126142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18858688 (or 18858685 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10523126142 its reverse (24162132501), we get a palindrome (34685258643).

The spelling of 10523126142 in words is "ten billion, five hundred twenty-three million, one hundred twenty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 18858649 37717298 56575947 113151894 169727841 339455682 584618119 1169236238 1753854357 3507708714 5261563071 10523126142