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313130130240329 is a prime number
BaseRepresentation
bin100011100110010100100101…
…0001011100111001101001001
31112001200221121011110020220022
41013030221022023213031021
5312020311001320142304
63025545555043310225
7122645622351160313
oct10714511213471511
91461627534406808
10313130130240329
1190855819264886
122b15287307b375
1310595076c35a2c
14574781734a7b3
1526303774d3ebe
hex11cca4a2e7349

313130130240329 has 2 divisors, whose sum is σ = 313130130240330. Its totient is φ = 313130130240328.

The previous prime is 313130130240299. The next prime is 313130130240359. The reversal of 313130130240329 is 923042031031313.

It is a balanced prime because it is at equal distance from previous prime (313130130240299) and next prime (313130130240359).

It can be written as a sum of positive squares in only one way, i.e., 285136084156729 + 27994046083600 = 16885973^2 + 5290940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313130130240329 is a prime.

It is not a weakly prime, because it can be changed into another prime (313130130240359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156565065120164 + 156565065120165.

It is an arithmetic number, because the mean of its divisors is an integer number (156565065120165).

Almost surely, 2313130130240329 is an apocalyptic number.

It is an amenable number.

313130130240329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313130130240329 is an equidigital number, since it uses as much as digits as its factorization.

313130130240329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 35.

The spelling of 313130130240329 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred thirty million, two hundred forty thousand, three hundred twenty-nine".