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313024102129 is a prime number
BaseRepresentation
bin1001000111000011011…
…00001011111011110001
31002220222012001222010001
410203201230023323301
520112033132232004
6355445024510001
731421012652514
oct4434154137361
91086865058101
10313024102129
11110830a43a72
12507bb17b301
13236971bbc0b
1411216b82d7b
158220cc21a4
hex48e1b0bef1

313024102129 has 2 divisors, whose sum is σ = 313024102130. Its totient is φ = 313024102128.

The previous prime is 313024102099. The next prime is 313024102151. The reversal of 313024102129 is 921201420313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 237629925729 + 75394176400 = 487473^2 + 274580^2 .

It is an emirp because it is prime and its reverse (921201420313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313024102129 - 29 = 313024101617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313024102097 and 313024102106.

It is not a weakly prime, because it can be changed into another prime (313024102529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156512051064 + 156512051065.

It is an arithmetic number, because the mean of its divisors is an integer number (156512051065).

Almost surely, 2313024102129 is an apocalyptic number.

It is an amenable number.

313024102129 is a deficient number, since it is larger than the sum of its proper divisors (1).

313024102129 is an equidigital number, since it uses as much as digits as its factorization.

313024102129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 313024102129 in words is "three hundred thirteen billion, twenty-four million, one hundred two thousand, one hundred twenty-nine".