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13130423240 = 23511314361367
BaseRepresentation
bin11000011101010001…
…00101101111001000
31020220002012121111212
430032220211233020
5203342342020430
610010530312252
7643245520214
oct141650455710
936802177455
1013130423240
115628866360
122665428688
13131340800c
148c7bd9944
1551cb15b95
hex30ea25bc8

13130423240 has 256 divisors, whose sum is σ = 34694922240. Its totient is φ = 4427136000.

The previous prime is 13130423221. The next prime is 13130423261. The reversal of 13130423240 is 4232403131.

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, 35777537 + ... + 35777903.

It is an arithmetic number, because the mean of its divisors is an integer number (135527040).

Almost surely, 213130423240 is an apocalyptic number.

13130423240 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 13130423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347461120).

13130423240 is an abundant number, since it is smaller than the sum of its proper divisors (21564499000).

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

13130423240 is a wasteful number, since it uses less digits than its factorization.

13130423240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 13130423240 its reverse (4232403131), we get a palindrome (17362826371).

The spelling of 13130423240 in words is "thirteen billion, one hundred thirty million, four hundred twenty-three thousand, two hundred forty".