Search a number
-
+
313146521461 is a prime number
BaseRepresentation
bin1001000111010001111…
…11001011011101110101
31002221021201102111212101
410203220333023131311
520112311002141321
6355505120422101
731424030341264
oct4435077133565
91087251374771
10313146521461
11110894058474
1250834177931
13236b66820a7
141122912c5db
15822b904791
hex48e8fcb775

313146521461 has 2 divisors, whose sum is σ = 313146521462. Its totient is φ = 313146521460.

The previous prime is 313146521459. The next prime is 313146521491. The reversal of 313146521461 is 164125641313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 277866036900 + 35280484561 = 527130^2 + 187831^2 .

It is a cyclic number.

It is not a de Polignac number, because 313146521461 - 21 = 313146521459 is a prime.

Together with 313146521459, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 313146521461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313146521491) 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, 156573260730 + 156573260731.

It is an arithmetic number, because the mean of its divisors is an integer number (156573260731).

Almost surely, 2313146521461 is an apocalyptic number.

It is an amenable number.

313146521461 is a deficient number, since it is larger than the sum of its proper divisors (1).

313146521461 is an equidigital number, since it uses as much as digits as its factorization.

313146521461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 37.

The spelling of 313146521461 in words is "three hundred thirteen billion, one hundred forty-six million, five hundred twenty-one thousand, four hundred sixty-one".