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13130103000 = 2335371736779
BaseRepresentation
bin11000011101001110…
…10111100011011000
31020220001121100020010
430032213113203120
5203342301244000
610010515401520
7643243014450
oct141647274330
936801540203
1013130103000
1156286677a3
1226652b32a0
131313325321
148c7b54d60
1551caa0d50
hex30e9d78d8

13130103000 has 256 divisors, whose sum is σ = 49573555200. Its totient is φ = 2824550400.

The previous prime is 13130102987. The next prime is 13130103011. The reversal of 13130103000 is 30103131.

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 63 ways as a sum of consecutive naturals, for example, 338611 + ... + 375389.

It is an arithmetic number, because the mean of its divisors is an integer number (193646700).

Almost surely, 213130103000 is an apocalyptic number.

13130103000 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 13130103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24786777600).

13130103000 is an abundant number, since it is smaller than the sum of its proper divisors (36443452200).

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

13130103000 is a wasteful number, since it uses less digits than its factorization.

13130103000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36827 (or 36813 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13130103000 its reverse (30103131), we get a palindrome (13160206131).

The spelling of 13130103000 in words is "thirteen billion, one hundred thirty million, one hundred three thousand".