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10000001000110 = 25117313718150221
BaseRepresentation
bin1001000110000100111010…
…0000011110001010101110
31022101222202021010001201111
42101201032200132022232
52302320000224000420
633133534222302234
72051322230011132
oct221411640361256
938358667101644
1010000001000110
113205a81957460
12115609812797a
13576cc44187c4
1426800730d3c2
151251ca08e45a
hex9184e81e2ae

10000001000110 has 128 divisors (see below), whose sum is σ = 20161830019968. Its totient is φ = 3540630528000.

The previous prime is 10000001000083. The next prime is 10000001000123. The reversal of 10000001000110 is 1100010000001.

It is a self number, because there is not a number n which added to its sum of digits gives 10000001000110.

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 63 ways as a sum of consecutive naturals, for example, 199094800 + ... + 199145020.

It is an arithmetic number, because the mean of its divisors is an integer number (157514297031).

Almost surely, 210000001000110 is an apocalyptic number.

10000001000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10000001000110 is an abundant number, since it is smaller than the sum of its proper divisors (10161829019858).

10000001000110 is a wasteful number, since it uses less digits than its factorization.

10000001000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50630.

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

Adding to 10000001000110 its reverse (1100010000001), we get a palindrome (11100011000111).

The spelling of 10000001000110 in words is "ten trillion, one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 10 11 22 55 73 110 137 146 181 274 362 365 685 730 803 905 1370 1507 1606 1810 1991 3014 3982 4015 7535 8030 9955 10001 13213 15070 19910 20002 24797 26426 49594 50005 50221 66065 100010 100442 110011 123985 132130 145343 220022 247970 251105 272767 290686 502210 545534 550055 552431 726715 1100110 1104862 1363835 1453430 1810181 2727670 2762155 3620362 3666133 5524310 6880277 7332266 9050905 9090001 13760554 18101810 18180002 18330665 19911991 34401385 36661330 39823982 40327463 45450005 68802770 75683047 80654926 90900010 99559955 99990011 151366094 199119910 199980022 201637315 378415235 403274630 499950055 502260221 663570073 756830470 999900110 1004520442 1245330137 1327140146 2490660274 2511301105 3317850365 5022602210 5524862431 6226650685 6635700730 7299270803 11049724862 12453301370 13698631507 14598541606 27397263014 27624312155 36496354015 55248624310 68493157535 72992708030 90909100001 136986315070 181818200002 454545500005 909091000010 1000000100011 2000000200022 5000000500055 10000001000110