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13104230400 = 212325259241
BaseRepresentation
bin11000011010001001…
…01011000000000000
31020211020220212200200
430031010223000000
5203314140333100
610004153045200
7642510056232
oct141504530000
936736825620
1013104230400
115614aa6288
1226586b6800
13130ab66bb1
148c453c252
1551a68ee00
hex30d12b000

13104230400 has 468 divisors, whose sum is σ = 47930127960. Its totient is φ = 3420979200.

The previous prime is 13104230369. The next prime is 13104230437. The reversal of 13104230400 is 403240131.

13104230400 is a `hidden beast` number, since 1 + 31 + 0 + 4 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54374280 + ... + 54374520.

Almost surely, 213104230400 is an apocalyptic number.

13104230400 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 13104230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23965063980).

13104230400 is an abundant number, since it is smaller than the sum of its proper divisors (34825897560).

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

13104230400 is a wasteful number, since it uses less digits than its factorization.

13104230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13104230400 its reverse (403240131), we get a palindrome (13507470531).

The spelling of 13104230400 in words is "thirteen billion, one hundred four million, two hundred thirty thousand, four hundred".