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13130041316 = 2271513105497
BaseRepresentation
bin11000011101001110…
…01000011111100100
31020220001111012121112
430032213020133210
5203342242310231
610010514204152
7643242336560
oct141647103744
936801435545
1013130041316
115628625417
122665283658
131313303222
148c7b3a6a0
1551ca8c92b
hex30e9c87e4

13130041316 has 24 divisors (see below), whose sum is σ = 26433998976. Its totient is φ = 5589892800.

The previous prime is 13130041291. The next prime is 13130041343. The reversal of 13130041316 is 61314003131.

13130041316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13130041291 and 13130041300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1548521 + ... + 1556976.

It is an arithmetic number, because the mean of its divisors is an integer number (1101416624).

Almost surely, 213130041316 is an apocalyptic number.

It is an amenable number.

13130041316 is an abundant number, since it is smaller than the sum of its proper divisors (13303957660).

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

13130041316 is a wasteful number, since it uses less digits than its factorization.

13130041316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105659 (or 3105657 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13130041316 its reverse (61314003131), we get a palindrome (74444044447).

The spelling of 13130041316 in words is "thirteen billion, one hundred thirty million, forty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 151 302 604 1057 2114 4228 3105497 6210994 12421988 21738479 43476958 86953916 468930047 937860094 1875720188 3282510329 6565020658 13130041316