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11305995120 = 2433573124121
BaseRepresentation
bin10101000011110001…
…11100101101110000
31002011221020001122000
422201320330231300
5141123313320440
65105514414000
7550113241620
oct124170745560
932157201560
1011305995120
114881a37522
122236431300
1310b2444154
147937a4880
15462884730
hex2a1e3cb70

11305995120 has 320 divisors, whose sum is σ = 45943726080. Its totient is φ = 2500761600.

The previous prime is 11305995109. The next prime is 11305995131. The reversal of 11305995120 is 2159950311.

11305995120 is a `hidden beast` number, since 1 + 13 + 0 + 599 + 51 + 2 + 0 = 666.

11305995120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11305995109) and next prime (11305995131).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 456660 + ... + 480780.

It is an arithmetic number, because the mean of its divisors is an integer number (143574144).

Almost surely, 211305995120 is an apocalyptic number.

11305995120 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 11305995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22971863040).

11305995120 is an abundant number, since it is smaller than the sum of its proper divisors (34637730960).

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

11305995120 is a wasteful number, since it uses less digits than its factorization.

11305995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24181 (or 24169 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 11305995120 in words is "eleven billion, three hundred five million, nine hundred ninety-five thousand, one hundred twenty".