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10442231310 = 235750599829
BaseRepresentation
bin10011011100110011…
…11100111000001110
3222221201220022102210
421232121330320032
5132341202400220
64444101131250
7516524334030
oct115631747016
928851808383
1010442231310
114479404a35
1220350b9b26
13ca54c70c4
14710b9bc50
15411b146e0
hex26e67ce0e

10442231310 has 64 divisors (see below), whose sum is σ = 28650124800. Its totient is φ = 2386081152.

The previous prime is 10442231309. The next prime is 10442231323. The reversal of 10442231310 is 1313224401.

It is a super-2 number, since 2×104422313102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1057476 + ... + 1067304.

It is an arithmetic number, because the mean of its divisors is an integer number (447658200).

Almost surely, 210442231310 is an apocalyptic number.

10442231310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442231310 is an abundant number, since it is smaller than the sum of its proper divisors (18207893490).

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

10442231310 is a wasteful number, since it uses less digits than its factorization.

10442231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14905.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10442231310 its reverse (1313224401), we get a palindrome (11755455711).

The spelling of 10442231310 in words is "ten billion, four hundred forty-two million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 5059 9829 10118 15177 19658 25295 29487 30354 35413 49145 50590 58974 68803 70826 75885 98290 106239 137606 147435 151770 177065 206409 212478 294870 344015 354130 412818 531195 688030 1032045 1062390 2064090 49724911 99449822 149174733 248624555 298349466 348074377 497249110 696148754 745873665 1044223131 1491747330 1740371885 2088446262 3480743770 5221115655 10442231310