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10442552130 = 233538676119
BaseRepresentation
bin10011011100110110…
…01011001101000010
3222221202111121112000
421232123023031002
5132341243132010
64444112044430
7516530141253
oct115633131502
928852447460
1010442552130
114479603a7a
122035233716
13ca55aa13a
14710c42b2a
15411b797c0
hex26e6cb342

10442552130 has 32 divisors (see below), whose sum is σ = 27846806400. Its totient is φ = 2784680496.

The previous prime is 10442552111. The next prime is 10442552137. The reversal of 10442552130 is 3125524401.

10442552130 is a `hidden beast` number, since 1 + 0 + 442 + 5 + 5 + 213 + 0 = 666.

10442552130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 10442552094 and 10442552103.

It is not an unprimeable number, because it can be changed into a prime (10442552137) 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 15 ways as a sum of consecutive naturals, for example, 19337790 + ... + 19338329.

It is an arithmetic number, because the mean of its divisors is an integer number (870212700).

Almost surely, 210442552130 is an apocalyptic number.

10442552130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442552130 is an abundant number, since it is smaller than the sum of its proper divisors (17404254270).

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

10442552130 is a wasteful number, since it uses less digits than its factorization.

10442552130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38676135 (or 38676129 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10442552130 in words is "ten billion, four hundred forty-two million, five hundred fifty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 38676119 77352238 116028357 193380595 232056714 348085071 386761190 580141785 696170142 1044255213 1160283570 1740425355 2088510426 3480850710 5221276065 10442552130