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10024314138 = 233185635447
BaseRepresentation
bin10010101010111111…
…01110010100011010
3221212121111220212000
421111133232110122
5131012211023023
64334411501430
7503261156436
oct112537562432
927777456760
1010024314138
114284511643
121b39157876
13c39a51437
146b14919c6
153da0b2243
hex2557ee51a

10024314138 has 16 divisors (see below), whose sum is σ = 22276253760. Its totient is φ = 3341438028.

The previous prime is 10024314121. The next prime is 10024314149. The reversal of 10024314138 is 83141342001.

10024314138 is a `hidden beast` number, since 1 + 0 + 0 + 243 + 1 + 413 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 92817670 + ... + 92817777.

It is an arithmetic number, because the mean of its divisors is an integer number (1392265860).

Almost surely, 210024314138 is an apocalyptic number.

10024314138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10024314138 is an abundant number, since it is smaller than the sum of its proper divisors (12251939622).

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

10024314138 is a wasteful number, since it uses less digits than its factorization.

10024314138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185635458 (or 185635452 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 10024314138 its reverse (83141342001), we get a palindrome (93165656139).

The spelling of 10024314138 in words is "ten billion, twenty-four million, three hundred fourteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 185635447 371270894 556906341 1113812682 1670719023 3341438046 5012157069 10024314138