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13015941120 = 21532571397
BaseRepresentation
bin11000001111100111…
…11000000000000000
31020121002210022120100
430013303320000000
5203124040103440
65551320442400
7640355450130
oct140763700000
936532708510
1013015941120
11557a183236
122633019400
1312c5793810
148b6918ac0
15512a50230
hex307cf8000

13015941120 has 768 divisors, whose sum is σ = 56106348480. Its totient is φ = 2717908992.

The previous prime is 13015941091. The next prime is 13015941187. The reversal of 13015941120 is 2114951031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a zygodrome in base 2.

It is a congruent number.

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, 134184912 + ... + 134185008.

Almost surely, 213015941120 is an apocalyptic number.

13015941120 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 13015941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28053174240).

13015941120 is an abundant number, since it is smaller than the sum of its proper divisors (43090407360).

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

13015941120 is an equidigital number, since it uses as much as digits as its factorization.

13015941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 127 counting only the distinct ones).

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

The spelling of 13015941120 in words is "thirteen billion, fifteen million, nine hundred forty-one thousand, one hundred twenty".