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10122394722 = 23113118792633
BaseRepresentation
bin10010110110101011…
…10111110001100010
3222010110001221010020
421123111313301202
5131212313112342
64352234014310
7505561635606
oct113325676142
928113057106
1010122394722
114324911a80
121b65b77396
13c5417239b
146c0503506
153e39d80ec
hex25b577c62

10122394722 has 64 divisors (see below), whose sum is σ = 22818447360. Its totient is φ = 2965737600.

The previous prime is 10122394679. The next prime is 10122394727. The reversal of 10122394722 is 22749322101.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10122394727) by changing a digit.

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, 3843118 + ... + 3845750.

It is an arithmetic number, because the mean of its divisors is an integer number (356538240).

Almost surely, 210122394722 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122394722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409223680).

10122394722 is an abundant number, since it is smaller than the sum of its proper divisors (12696052638).

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

10122394722 is a wasteful number, since it uses less digits than its factorization.

10122394722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4559.

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10122394722 in words is "ten billion, one hundred twenty-two million, three hundred ninety-four thousand, seven hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1879 2046 2633 3758 5266 5637 7899 11274 15798 20669 28963 41338 57926 58249 62007 81623 86889 116498 124014 163246 173778 174747 244869 349494 489738 640739 897853 1281478 1795706 1922217 2693559 3844434 4947407 5387118 9894814 14842221 29684442 54421477 108842954 153369617 163264431 306739234 326528862 460108851 920217702 1687065787 3374131574 5061197361 10122394722