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13201320000 = 263541173137
BaseRepresentation
bin11000100101101110…
…00010100001000000
31021002000121112120210
430102313002201000
5204014014220000
610021542034120
7645066240261
oct142267024100
937060545523
1013201320000
11566488a120
122685118940
131324ccba6b
148d33b2968
15523e6c350
hex312dc2840

13201320000 has 560 divisors, whose sum is σ = 48619086912. Its totient is φ = 3133440000.

The previous prime is 13201319981. The next prime is 13201320001. The reversal of 13201320000 is 2310231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (13201320001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96359932 + ... + 96360068.

Almost surely, 213201320000 is an apocalyptic number.

13201320000 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 13201320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24309543456).

13201320000 is an abundant number, since it is smaller than the sum of its proper divisors (35417766912).

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

13201320000 is a wasteful number, since it uses less digits than its factorization.

13201320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13201320000 its reverse (2310231), we get a palindrome (13203630231).

The spelling of 13201320000 in words is "thirteen billion, two hundred one million, three hundred twenty thousand".