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13331030000 = 245423149389
BaseRepresentation
bin11000110101001011…
…10101111111110000
31021102001200111020212
430122211311333300
5204300220430000
610042454123252
7651232612451
oct143245657760
937361614225
1013331030000
115721023172
122700650528
131345b45542
149066d9128
1553053ec35
hex31a975ff0

13331030000 has 200 divisors, whose sum is σ = 33992244000. Its totient is φ = 5053312000.

The previous prime is 13331029997. The next prime is 13331030047. The reversal of 13331030000 is 3013331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34269806 + ... + 34270194.

It is an arithmetic number, because the mean of its divisors is an integer number (169961220).

Almost surely, 213331030000 is an apocalyptic number.

13331030000 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 13331030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16996122000).

13331030000 is an abundant number, since it is smaller than the sum of its proper divisors (20661214000).

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

13331030000 is a wasteful number, since it uses less digits than its factorization.

13331030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13331030000 its reverse (3013331), we get a palindrome (13334043331).

The spelling of 13331030000 in words is "thirteen billion, three hundred thirty-one million, thirty thousand".