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13300000000 = 2858719
BaseRepresentation
bin11000110001011110…
…11110010100000000
31021022220022000002121
430120233132110000
5204214300000000
610035425054024
7650405064130
oct143057362400
937286260077
1013300000000
115705559941
1226b2187314
13133c59c7b1
1490253cac0
1552c960b1a
hex318bde500

13300000000 has 324 divisors, whose sum is σ = 39921854560. Its totient is φ = 4320000000.

The previous prime is 13299999991. The next prime is 13300000001. The reversal of 13300000000 is 331.

It is a happy number.

It is a sliding number, since 13300000000 = 800000000 + 12500000000 and 1/800000000 + 1/12500000000 = 0.0000000013300000000.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300000001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 699999991 + ... + 700000009.

Almost surely, 213300000000 is an apocalyptic number.

13300000000 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 13300000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19960927280).

13300000000 is an abundant number, since it is smaller than the sum of its proper divisors (26621854560).

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

13300000000 is an frugal number, since it uses more digits than its factorization.

13300000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

Adding to 13300000000 its reverse (331), we get a palindrome (13300000331).

The spelling of 13300000000 in words is "thirteen billion, three hundred million", and thus it is an aban number.