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13395231000 = 2332534334613
BaseRepresentation
bin11000111100110101…
…10000000100011000
31021120112111020110200
430132122300010120
5204413134343000
610053110142200
7652642404414
oct143632600430
937515436420
1013395231000
115754293348
12271a051960
1313562336b8
1491104bd44
15535ec2500
hex31e6b0118

13395231000 has 192 divisors, whose sum is σ = 46330146720. Its totient is φ = 3488889600.

The previous prime is 13395230987. The next prime is 13395231001. The reversal of 13395231000 is 13259331.

It is a happy number.

13395231000 is a `hidden beast` number, since 1 + 3 + 39 + 523 + 100 + 0 = 666.

It is a super-2 number, since 2×133952310002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395231001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369694 + ... + 404306.

Almost surely, 213395231000 is an apocalyptic number.

13395231000 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 13395231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23165073360).

13395231000 is an abundant number, since it is smaller than the sum of its proper divisors (32934915720).

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

13395231000 is a wasteful number, since it uses less digits than its factorization.

13395231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34683 (or 34666 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The spelling of 13395231000 in words is "thirteen billion, three hundred ninety-five million, two hundred thirty-one thousand".