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10442122210 = 251373215073
BaseRepresentation
bin10011011100110011…
…00010001111100010
3222221201200202210001
421232121202033202
5132341140402320
64444054530214
7516523400662
oct115631421742
928851622701
1010442122210
11447933aa73
12203506696a
13ca5489550
14710b701a2
15411ae220a
hex26e6623e2

10442122210 has 48 divisors (see below), whose sum is σ = 20524095144. Its totient is φ = 3802484736.

The previous prime is 10442122151. The next prime is 10442122213. The reversal of 10442122210 is 1222124401.

10442122210 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 354531241 + 10087590969 = 18829^2 + 100437^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442122213) 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 23 ways as a sum of consecutive naturals, for example, 685234 + ... + 700306.

Almost surely, 210442122210 is an apocalyptic number.

10442122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10442122210 is a deficient number, since it is larger than the sum of its proper divisors (10081972934).

10442122210 is a wasteful number, since it uses less digits than its factorization.

10442122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15239 (or 15166 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10442122210 its reverse (1222124401), we get a palindrome (11664246611).

The spelling of 10442122210 in words is "ten billion, four hundred forty-two million, one hundred twenty-two thousand, two hundred ten".

Divisors: 1 2 5 10 13 26 65 73 130 146 365 730 949 1898 4745 5329 9490 10658 15073 26645 30146 53290 69277 75365 138554 150730 195949 346385 391898 692770 979745 1100329 1959490 2200658 5501645 11003290 14304277 28608554 71521385 80324017 143042770 160648034 401620085 803240170 1044212221 2088424442 5221061105 10442122210