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10091011110 = 235379419661
BaseRepresentation
bin10010110010111100…
…01001110000100110
3222001021000110220020
421121132021300212
5131131244323420
64345153220010
7505031115315
oct113136116046
928037013806
1010091011110
114309127004
121b57561606
13c4a8046bb
146ba29427c
153e0d89340
hex259789c26

10091011110 has 64 divisors (see below), whose sum is σ = 24901988544. Its totient is φ = 2615155200.

The previous prime is 10091011109. The next prime is 10091011121. The reversal of 10091011110 is 1111019001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10091011110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1039680 + ... + 1049340.

It is an arithmetic number, because the mean of its divisors is an integer number (389093571).

Almost surely, 210091011110 is an apocalyptic number.

10091011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10091011110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450994272).

10091011110 is an abundant number, since it is smaller than the sum of its proper divisors (14810977434).

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

10091011110 is a wasteful number, since it uses less digits than its factorization.

10091011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649.

The product of its (nonzero) digits is 9, while the sum is 15.

The spelling of 10091011110 in words is "ten billion, ninety-one million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 941 1110 1882 2823 4705 5646 9410 9661 14115 19322 28230 28983 34817 48305 57966 69634 96610 104451 144915 174085 208902 289830 348170 357457 522255 714914 1044510 1072371 1787285 2144742 3574570 5361855 9091001 10723710 18182002 27273003 45455005 54546006 90910010 136365015 272730030 336367037 672734074 1009101111 1681835185 2018202222 3363670370 5045505555 10091011110