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10010001000010 = 25117313740122691
BaseRepresentation
bin1001000110101010001010…
…0011011100011001001010
31022102221120011212200201011
42101222202203130121022
52303000440224000020
633142310405114134
72052125104422604
oct221524243343112
938387504780634
1010010001000010
11320a243671390
1211580090b894a
13577c29105bcb
142686b5472174
151255b2e4c35a
hex91aa28dc64a

10010001000010 has 128 divisors (see below), whose sum is σ = 20121640489728. Its totient is φ = 3554887680000.

The previous prime is 10010000999987. The next prime is 10010001000059. The reversal of 10010001000010 is 1000010001001.

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 63 ways as a sum of consecutive naturals, for example, 441132765 + ... + 441155455.

It is an arithmetic number, because the mean of its divisors is an integer number (157200316326).

Almost surely, 210010001000010 is an apocalyptic number.

10010001000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010001000010 is an abundant number, since it is smaller than the sum of its proper divisors (10111639489718).

10010001000010 is a wasteful number, since it uses less digits than its factorization.

10010001000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23320.

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010001000010 its reverse (1000010001001), we get a palindrome (11010011001011).

Subtracting from 10010001000010 its reverse (1000010001001), we obtain a palindrome (9009990999009).

The spelling of 10010001000010 in words is "ten trillion, ten billion, one million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 5 10 11 22 55 73 110 137 146 274 365 401 685 730 802 803 1370 1507 1606 2005 3014 4010 4015 4411 7535 8030 8822 10001 15070 20002 22055 22691 29273 44110 45382 50005 54937 58546 100010 109874 110011 113455 146365 220022 226910 249601 274685 292730 322003 499202 549370 550055 604307 644006 1100110 1208614 1248005 1610015 1656443 2496010 3021535 3108667 3220030 3312886 4010401 6043070 6217334 8020802 8282215 9099091 15543335 16564430 18198182 18220873 20052005 31086670 34195337 36441746 40104010 44114411 45495455 68390674 88228822 90990910 91104365 100090001 170976685 182208730 200180002 220572055 226932691 341953370 441144110 453865382 500450005 664233643 1000900010 1134663455 1246575467 1328467286 2269326910 2493150934 2496259601 3321168215 4992519202 6232877335 6642336430 7306570073 12465754670 12481298005 13712330137 14613140146 24962596010 27424660274 36532850365 68561650685 73065700730 91000009091 137123301370 182000018182 455000045455 910000090910 1001000100001 2002000200002 5005000500005 10010001000010