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11253255300 = 22325278392129
BaseRepresentation
bin10100111101011111…
…10000110010000100
31002001020222121012100
422132233300302010
5141021313132200
65100352152100
7545603043330
oct123657606204
932036877170
1011253255300
1148551952a1
122220838630
1310a4539961
1478a7967c0
1545ce17d00
hex29ebf0c84

11253255300 has 216 divisors, whose sum is σ = 40378665600. Its totient is φ = 2567900160.

The previous prime is 11253255283. The next prime is 11253255301. The reversal of 11253255300 is 355235211.

It is a happy number.

11253255300 is a `hidden beast` number, since 1 + 125 + 3 + 2 + 5 + 530 + 0 = 666.

11253255300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11253255301) 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 71 ways as a sum of consecutive naturals, for example, 5284636 + ... + 5286764.

Almost surely, 211253255300 is an apocalyptic number.

11253255300 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 11253255300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189332800).

11253255300 is an abundant number, since it is smaller than the sum of its proper divisors (29125410300).

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

11253255300 is a wasteful number, since it uses less digits than its factorization.

11253255300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 11253255300 in words is "eleven billion, two hundred fifty-three million, two hundred fifty-five thousand, three hundred".