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10422140022 = 233756348973
BaseRepresentation
bin10011011010011010…
…10011110001110110
3222220100002120101000
421231031103301312
5132321031440042
64442102344130
7516161504610
oct115515236166
928810076330
1010422140022
114469032068
12202a42b046
13ca12b1278
1470c24bdb0
1540ee9674c
hex26d353c76

10422140022 has 64 divisors (see below), whose sum is σ = 26516482560. Its totient is φ = 2972404512.

The previous prime is 10422139961. The next prime is 10422140039. The reversal of 10422140022 is 22004122401.

10422140022 is digitally balanced in base 5, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10422139977 and 10422140004.

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, 188328 + ... + 237300.

It is an arithmetic number, because the mean of its divisors is an integer number (414320040).

Almost surely, 210422140022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422140022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258241280).

10422140022 is an abundant number, since it is smaller than the sum of its proper divisors (16094342538).

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

10422140022 is a wasteful number, since it uses less digits than its factorization.

10422140022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49554 (or 49548 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10422140022 its reverse (22004122401), we get a palindrome (32426262423).

The spelling of 10422140022 in words is "ten billion, four hundred twenty-two million, one hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 563 1126 1689 3378 3941 5067 7882 10134 11823 15201 23646 30402 35469 48973 70938 97946 106407 146919 212814 293838 342811 440757 685622 881514 1028433 1322271 2056866 2644542 3085299 6170598 9255897 18511794 27571799 55143598 82715397 165430794 193002593 248146191 386005186 496292382 579007779 744438573 1158015558 1488877146 1737023337 3474046674 5211070011 10422140022