Search a number
-
+
10111109976 = 23321112766553
BaseRepresentation
bin10010110101010101…
…10100101101011000
3222002122211121100200
421122222310231120
5131201421004401
64351152102200
7505364005512
oct113252645530
928078747320
1010111109976
114319504640
121b62234960
13c51a20b16
146bcc06bb2
153e2a09686
hex25aab4b58

10111109976 has 48 divisors (see below), whose sum is σ = 29873736360. Its totient is φ = 3063972480.

The previous prime is 10111109969. The next prime is 10111109989. The reversal of 10111109976 is 67990111101.

10111109976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10111109976.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6382485 + ... + 6384068.

Almost surely, 210111109976 is an apocalyptic number.

It is an amenable number.

10111109976 is an abundant number, since it is smaller than the sum of its proper divisors (19762626384).

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

10111109976 is a wasteful number, since it uses less digits than its factorization.

10111109976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12766576 (or 12766569 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 36.

The spelling of 10111109976 in words is "ten billion, one hundred eleven million, one hundred nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 12766553 25533106 38299659 51066212 76599318 102132424 114898977 140432083 153198636 229797954 280864166 306397272 421296249 459595908 561728332 842592498 919191816 1123456664 1263888747 1685184996 2527777494 3370369992 5055554988 10111109976