Search a number
-
+
11199007980 = 2232562216711
BaseRepresentation
bin10100110111000001…
…10100110011101100
31001220110220112212100
422123200310303230
5140413421223410
65051133335100
7544343666016
oct123340646354
931813815770
1011199007980
1148276034a6
122206637490
131096225254
147834b51b6
1545829e8c0
hex29b834cec

11199007980 has 36 divisors (see below), whose sum is σ = 33970324752. Its totient is φ = 2986402080.

The previous prime is 11199007973. The next prime is 11199008003. The reversal of 11199007980 is 8970099111.

11199007980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×111990079802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 31108176 + ... + 31108535.

It is an arithmetic number, because the mean of its divisors is an integer number (943620132).

Almost surely, 211199007980 is an apocalyptic number.

11199007980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11199007980 is an abundant number, since it is smaller than the sum of its proper divisors (22771316772).

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

11199007980 is a wasteful number, since it uses less digits than its factorization.

11199007980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62216726 (or 62216721 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 45.

The spelling of 11199007980 in words is "eleven billion, one hundred ninety-nine million, seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 62216711 124433422 186650133 248866844 311083555 373300266 559950399 622167110 746600532 933250665 1119900798 1244334220 1866501330 2239801596 2799751995 3733002660 5599503990 11199007980