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10034661724122 = 2372174003750147
BaseRepresentation
bin1001001000000110000001…
…1100101000111111011010
31022112022012211101021111110
42102001200130220333122
52303401441400132442
633201505430041150
72053660162213500
oct222014034507732
938468184337443
1010034661724122
113219748a38412
12116094baa91b6
1357a35926c559
14269974740670
15126057e5369c
hex92060728fda

10034661724122 has 96 divisors (see below), whose sum is σ = 24720349082688. Its totient is φ = 2698275224064.

The previous prime is 10034661724111. The next prime is 10034661724127. The reversal of 10034661724122 is 22142716643001.

It is not an unprimeable number, because it can be changed into a prime (10034661724127) 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 47 ways as a sum of consecutive naturals, for example, 200079853 + ... + 200129999.

It is an arithmetic number, because the mean of its divisors is an integer number (257503636278).

Almost surely, 210034661724122 is an apocalyptic number.

10034661724122 is an abundant number, since it is smaller than the sum of its proper divisors (14685687358566).

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

10034661724122 is a wasteful number, since it uses less digits than its factorization.

10034661724122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90220 (or 90213 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 10034661724122 in words is "ten trillion, thirty-four billion, six hundred sixty-one million, seven hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 714 833 1666 2499 4998 40037 50147 80074 100294 120111 150441 240222 280259 300882 351029 560518 680629 702058 840777 852499 1053087 1361258 1681554 1704998 1961813 2041887 2106174 2457203 2557497 3923626 4083774 4764403 4914406 5114994 5885439 5967493 7371609 9528806 11770878 11934986 14293209 14743218 17902479 28586418 33350821 35804958 41772451 66701642 83544902 100052463 125317353 200104926 250634706 2007735439 4015470878 6023206317 12046412634 14054148073 28108296146 34131502463 42162444219 68263004926 84324888438 98379036511 102394507389 196758073022 204789014778 238920517241 295137109533 477841034482 590274219066 716761551723 1433523103446 1672443620687 3344887241374 5017330862061 10034661724122