Search a number
-
+
313130103239101 is a prime number
BaseRepresentation
bin100011100110010100100100…
…0100100100111000110111101
31112001200221112021122110011211
41013030221020210213012331
5312020310422412122401
63025545552240444421
7122645621602521451
oct10714511044470675
91461627467573154
10313130103239101
1190855804aa2415
122b152866019711
1310595071470985
14574781391c661
152630374e4d951
hex11cca489271bd

313130103239101 has 2 divisors, whose sum is σ = 313130103239102. Its totient is φ = 313130103239100.

The previous prime is 313130103238963. The next prime is 313130103239119. The reversal of 313130103239101 is 101932301031313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 164238834424900 + 148891268814201 = 12815570^2 + 12202101^2 .

It is an emirp because it is prime and its reverse (101932301031313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313130103239101 - 213 = 313130103230909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313130103239801) 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, 156565051619550 + 156565051619551.

It is an arithmetic number, because the mean of its divisors is an integer number (156565051619551).

Almost surely, 2313130103239101 is an apocalyptic number.

It is an amenable number.

313130103239101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313130103239101 is an equidigital number, since it uses as much as digits as its factorization.

313130103239101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The spelling of 313130103239101 in words is "three hundred thirteen trillion, one hundred thirty billion, one hundred three million, two hundred thirty-nine thousand, one hundred one".