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13201124200 = 2352113101491
BaseRepresentation
bin11000100101101100…
…10010101101101000
31021002000020120222221
430102312102231220
5204013441433300
610021533523424
7645064463365
oct142266225550
937060216887
1013201124200
115664766000
122685043574
131324c608c4
148d336146c
15523e2e31a
hex312d92b68

13201124200 has 192 divisors, whose sum is σ = 34163259840. Its totient is φ = 4743200000.

The previous prime is 13201124173. The next prime is 13201124203. The reversal of 13201124200 is 242110231.

It is not an unprimeable number, because it can be changed into a prime (13201124203) 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, 26885955 + ... + 26886445.

It is an arithmetic number, because the mean of its divisors is an integer number (177933645).

Almost surely, 213201124200 is an apocalyptic number.

13201124200 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 13201124200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081629920).

13201124200 is an abundant number, since it is smaller than the sum of its proper divisors (20962135640).

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

13201124200 is a wasteful number, since it uses less digits than its factorization.

13201124200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13201124200 its reverse (242110231), we get a palindrome (13443234431).

The spelling of 13201124200 in words is "thirteen billion, two hundred one million, one hundred twenty-four thousand, two hundred".