Search a number
-
+
13001230320 = 24351319713089
BaseRepresentation
bin11000001101110111…
…10000011111110000
31020120002002221010220
430012323300133300
5203111303332240
65550033253040
7640116430401
oct140673603760
936502087126
1013001230320
115571945851
12262a104180
1312c27129c0
148b49a99a8
155115e65d0
hex306ef07f0

13001230320 has 320 divisors, whose sum is σ = 46347033600. Its totient is φ = 2988195840.

The previous prime is 13001230247. The next prime is 13001230331. The reversal of 13001230320 is 2303210031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13001230320.

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, 4207336 + ... + 4210424.

It is an arithmetic number, because the mean of its divisors is an integer number (144834480).

Almost surely, 213001230320 is an apocalyptic number.

13001230320 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 13001230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23173516800).

13001230320 is an abundant number, since it is smaller than the sum of its proper divisors (33345803280).

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

13001230320 is a wasteful number, since it uses less digits than its factorization.

13001230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3208 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13001230320 its reverse (2303210031), we get a palindrome (15304440351).

The spelling of 13001230320 in words is "thirteen billion, one million, two hundred thirty thousand, three hundred twenty".