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13130080032 = 2531014113487
BaseRepresentation
bin11000011101001110…
…10001111100100000
31020220001120011201110
430032213101330200
5203342300030112
610010515103320
7643242560466
oct141647217440
936801504643
1013130080032
115628651513
1226652a1b40
131313317a34
148c7b4a836
1551ca9913c
hex30e9d1f20

13130080032 has 48 divisors (see below), whose sum is σ = 34472414592. Its totient is φ = 4375937280.

The previous prime is 13130079997. The next prime is 13130080151. The reversal of 13130080032 is 23008003131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13130079990 and 13130080008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966793 + ... + 980279.

It is an arithmetic number, because the mean of its divisors is an integer number (718175304).

Almost surely, 213130080032 is an apocalyptic number.

13130080032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13130080032 is an abundant number, since it is smaller than the sum of its proper divisors (21342334560).

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

13130080032 is a wasteful number, since it uses less digits than its factorization.

13130080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23641 (or 23633 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13130080032 its reverse (23008003131), we get a palindrome (36138083163).

The spelling of 13130080032 in words is "thirteen billion, one hundred thirty million, eighty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10141 13487 20282 26974 30423 40461 40564 53948 60846 80922 81128 107896 121692 161844 162256 215792 243384 323688 324512 431584 486768 647376 973536 1294752 136771667 273543334 410315001 547086668 820630002 1094173336 1641260004 2188346672 3282520008 4376693344 6565040016 13130080032