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13130220000 = 25354534129
BaseRepresentation
bin11000011101001111…
…10100000111100000
31020220001211021201110
430032213310013200
5203342314020000
610010522103320
7643244012532
oct141647640740
936801737643
1013130220000
115628737697
12266534ab40
131313366661
148c7b85852
1551cac5850
hex30e9f41e0

13130220000 has 240 divisors, whose sum is σ = 43893012240. Its totient is φ = 3434496000.

The previous prime is 13130219989. The next prime is 13130220017. The reversal of 13130220000 is 2203131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3177936 + ... + 3182064.

It is an arithmetic number, because the mean of its divisors is an integer number (182887551).

Almost surely, 213130220000 is an apocalyptic number.

13130220000 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 13130220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21946506120).

13130220000 is an abundant number, since it is smaller than the sum of its proper divisors (30762792240).

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

13130220000 is an equidigital number, since it uses as much as digits as its factorization.

13130220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4215 (or 4192 counting only the distinct ones).

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

Adding to 13130220000 its reverse (2203131), we get a palindrome (13132423131).

The spelling of 13130220000 in words is "thirteen billion, one hundred thirty million, two hundred twenty thousand".