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11213925120 = 28355311163
BaseRepresentation
bin10100111000110011…
…01110101100000000
31001221111222102100000
422130121232230000
5140431231100440
65052425200000
7544614535146
oct123431565400
931844872300
1011213925120
114834a71a12
12220b630000
131099348c68
14785479596
15459749730
hex29c66eb00

11213925120 has 432 divisors, whose sum is σ = 41569661952. Its totient is φ = 2891427840.

The previous prime is 11213925071. The next prime is 11213925131. The reversal of 11213925120 is 2152931211.

11213925120 is a `hidden beast` number, since 1 + 12 + 139 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9641659 + ... + 9642821.

Almost surely, 211213925120 is an apocalyptic number.

11213925120 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 11213925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20784830976).

11213925120 is an abundant number, since it is smaller than the sum of its proper divisors (30355736832).

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

11213925120 is an equidigital number, since it uses as much as digits as its factorization.

11213925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11213925120 in words is "eleven billion, two hundred thirteen million, nine hundred twenty-five thousand, one hundred twenty".