Search a number
-
+
11120211300 = 22352113369761
BaseRepresentation
bin10100101101101000…
…01111010101100100
31001200222122021010210
422112310033111210
5140233233230200
65035240415420
7542366144052
oct122664172544
931628567123
1011120211300
114797084380
1221a4177570
131082ac67b3
14776c431d2
154513d7650
hex296d0f564

11120211300 has 72 divisors (see below), whose sum is σ = 35099440992. Its totient is φ = 2695808000.

The previous prime is 11120211299. The next prime is 11120211307. The reversal of 11120211300 is 311202111.

11120211300 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 (12).

It is not an unprimeable number, because it can be changed into a prime (11120211307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1681581 + ... + 1688180.

It is an arithmetic number, because the mean of its divisors is an integer number (487492236).

Almost surely, 211120211300 is an apocalyptic number.

11120211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120211300 is an abundant number, since it is smaller than the sum of its proper divisors (23979229692).

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

11120211300 is a wasteful number, since it uses less digits than its factorization.

11120211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3369789 (or 3369782 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 11120211300 its reverse (311202111), we get a palindrome (11431413411).

The spelling of 11120211300 in words is "eleven billion, one hundred twenty million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3369761 6739522 10109283 13479044 16848805 20218566 33697610 37067371 40437132 50546415 67395220 74134742 84244025 101092830 111202113 148269484 168488050 185336855 202185660 222404226 252732075 336976100 370673710 444808452 505464150 556010565 741347420 926684275 1010928300 1112021130 1853368550 2224042260 2780052825 3706737100 5560105650 11120211300