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11199254220 = 2232571121729149
BaseRepresentation
bin10100110111000011…
…10000111011001100
31001220111101001122100
422123201300323030
5140414002113340
65051142515100
7544346042640
oct123341607314
931814331570
1011199254220
114827761500
122206735a90
1310962b035b
1478353ac20
154582ec830
hex29b870ecc

11199254220 has 864 divisors, whose sum is σ = 47056464000. Its totient is φ = 2100510720.

The previous prime is 11199254207. The next prime is 11199254243. The reversal of 11199254220 is 2245299111.

11199254220 is a `hidden beast` number, since 1 + 1 + 1 + 9 + 92 + 542 + 20 = 666.

11199254220 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 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 287 ways as a sum of consecutive naturals, for example, 75162706 + ... + 75162854.

It is an arithmetic number, because the mean of its divisors is an integer number (54463500).

Almost surely, 211199254220 is an apocalyptic number.

11199254220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11199254220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23528232000).

11199254220 is an abundant number, since it is smaller than the sum of its proper divisors (35857209780).

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

11199254220 is a wasteful number, since it uses less digits than its factorization.

11199254220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11199254220 in words is "eleven billion, one hundred ninety-nine million, two hundred fifty-four thousand, two hundred twenty".