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13230232400 = 24527111014253
BaseRepresentation
bin11000101001001010…
…10101001101010000
31021011001000102221102
430110211111031100
5204043414414100
610024453443532
7645600056060
oct142445251520
937131012842
1013230232400
11567a137470
1226929405a8
13132acb29a8
148d717b3a0
1552677dcd5
hex314955350

13230232400 has 240 divisors, whose sum is σ = 40030616448. Its totient is φ = 4081920000.

The previous prime is 13230232397. The next prime is 13230232409. The reversal of 13230232400 is 423203231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13230232409) 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, 3108674 + ... + 3112926.

Almost surely, 213230232400 is an apocalyptic number.

13230232400 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 13230232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20015308224).

13230232400 is an abundant number, since it is smaller than the sum of its proper divisors (26800384048).

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

13230232400 is a wasteful number, since it uses less digits than its factorization.

13230232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4390 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13230232400 its reverse (423203231), we get a palindrome (13653435631).

The spelling of 13230232400 in words is "thirteen billion, two hundred thirty million, two hundred thirty-two thousand, four hundred".