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13130620317 = 332309210619
BaseRepresentation
bin11000011101010010…
…10101110110011101
31020220002120121212000
430032221111312131
5203342414322232
610010534432513
7643250300613
oct141651256635
936802517760
1013130620317
115628990431
122665502739
131313476929
148c7c4b6b3
1551cb5427c
hex30ea55d9d

13130620317 has 16 divisors (see below), whose sum is σ = 19461288000. Its totient is φ = 8749914192.

The previous prime is 13130620313. The next prime is 13130620337. The reversal of 13130620317 is 71302603131.

13130620317 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 620 + 31 + 7 = 666.

It is not a de Polignac number, because 13130620317 - 22 = 13130620313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130620313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42967 + ... + 167652.

It is an arithmetic number, because the mean of its divisors is an integer number (1216330500).

Almost surely, 213130620317 is an apocalyptic number.

It is an amenable number.

13130620317 is a deficient number, since it is larger than the sum of its proper divisors (6330667683).

13130620317 is a wasteful number, since it uses less digits than its factorization.

13130620317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212937 (or 212931 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 13130620317 in words is "thirteen billion, one hundred thirty million, six hundred twenty thousand, three hundred seventeen".

Divisors: 1 3 9 27 2309 6927 20781 62343 210619 631857 1895571 5686713 486319271 1458957813 4376873439 13130620317