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101011100001110 = 251317231987233917
BaseRepresentation
bin10110111101111001111010…
…101110111110001101010110
3111020122120022020100102201222
4112331321322232332031112
5101214431213100013420
6554455505252450342
730163545136302455
oct2675717256761526
9436576266312658
10101011100001110
112a204626662202
12b3b47650199b2
1344493c8c80280
141ad2d6b51ab9c
15ba27e577a225
hex5bde7abbe356

101011100001110 has 64 divisors (see below), whose sum is σ = 216338233249152. Its totient is φ = 33576304244736.

The previous prime is 101011100001047. The next prime is 101011100001169. The reversal of 101011100001110 is 11100001110101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 993566129 + ... + 993667788.

It is an arithmetic number, because the mean of its divisors is an integer number (3380284894518).

Almost surely, 2101011100001110 is an apocalyptic number.

101011100001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011100001110 is an abundant number, since it is smaller than the sum of its proper divisors (115327133248042).

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

101011100001110 is a wasteful number, since it uses less digits than its factorization.

101011100001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987233977.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 101011100001110 its reverse (11100001110101), we get a palindrome (112111101111211).

The spelling of 101011100001110 in words is "one hundred one trillion, eleven billion, one hundred million, one thousand, one hundred ten".

Divisors: 1 2 5 10 13 17 23 26 34 46 65 85 115 130 170 221 230 299 391 442 598 782 1105 1495 1955 2210 2990 3910 5083 10166 25415 50830 1987233917 3974467834 9936169585 19872339170 25834040921 33782976589 45706380091 51668081842 67565953178 91412760182 129170204605 168914882945 228531900455 258340409210 337829765890 439178695657 457063800910 594182941183 777008461547 878357391314 1188365882366 1554016923094 2195893478285 2970914705915 3885042307735 4391786956570 5941829411830 7770084615470 10101110000111 20202220000222 50505550000555 101011100001110