Search a number
-
+
11120367900 = 2235271522083
BaseRepresentation
bin10100101101101001…
…10101100100011100
31001200222221012221210
422112310311210130
5140233303233100
65035244024420
7542400365445
oct122664654434
931628835853
1011120367900
114797180aa4
1221a4232110
131082b4cb65
14776c842cc
15451418c50
hex296d3591c

11120367900 has 72 divisors (see below), whose sum is σ = 32628161664. Its totient is φ = 2923659200.

The previous prime is 11120367887. The next prime is 11120367943. The reversal of 11120367900 is 976302111.

11120367900 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 (30).

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 23 ways as a sum of consecutive naturals, for example, 239742 + ... + 282341.

It is an arithmetic number, because the mean of its divisors is an integer number (453168912).

Almost surely, 211120367900 is an apocalyptic number.

11120367900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11120367900 is an abundant number, since it is smaller than the sum of its proper divisors (21507793764).

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

11120367900 is a wasteful number, since it uses less digits than its factorization.

11120367900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522171 (or 522164 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 11120367900 in words is "eleven billion, one hundred twenty million, three hundred sixty-seven thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 3550 4260 5325 7100 10650 21300 522083 1044166 1566249 2088332 2610415 3132498 5220830 6264996 7831245 10441660 13052075 15662490 26104150 31324980 37067893 39156225 52208300 74135786 78312450 111203679 148271572 156624900 185339465 222407358 370678930 444814716 556018395 741357860 926697325 1112036790 1853394650 2224073580 2780091975 3706789300 5560183950 11120367900