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13110000000 = 273571923
BaseRepresentation
bin11000011010110101…
…01011100110000000
31020211122210000002120
430031122223212000
5203322130000000
610004520444240
7642610106226
oct141532534600
936748700076
1013110000000
115618287049
12265a619680
13130c107066
148c5200b16
1551ae2e6a0
hex30d6ab980

13110000000 has 512 divisors, whose sum is σ = 47812377600. Its totient is φ = 3168000000.

The previous prime is 13109999989. The next prime is 13110000011. The reversal of 13110000000 is 1131.

It is an interprime number because it is at equal distance from previous prime (13109999989) and next prime (13110000011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569999989 + ... + 570000011.

It is an arithmetic number, because the mean of its divisors is an integer number (93383550).

Almost surely, 213110000000 is an apocalyptic number.

13110000000 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 13110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23906188800).

13110000000 is an abundant number, since it is smaller than the sum of its proper divisors (34702377600).

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

13110000000 is an frugal number, since it uses more digits than its factorization.

13110000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 13110000000 its reverse (1131), we get a palindrome (13110001131).

The spelling of 13110000000 in words is "thirteen billion, one hundred ten million", and thus it is an aban number.