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313221213341 is a prime number
BaseRepresentation
bin1001000111011010111…
…00000110110010011101
31002221110220222020212022
410203231130012302131
520112434112311331
6355520345345525
731425625246001
oct4435534066235
91087426866768
10313221213341
111109222335a3
12508551982a5
13236c8ca437a
1411235012701
15823325a67b
hex48ed706c9d

313221213341 has 2 divisors, whose sum is σ = 313221213342. Its totient is φ = 313221213340.

The previous prime is 313221213299. The next prime is 313221213343. The reversal of 313221213341 is 143312122313.

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., 264045933316 + 49175280025 = 513854^2 + 221755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313221213341 is a prime.

Together with 313221213343, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 313221213341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313221213343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156610606670 + 156610606671.

It is an arithmetic number, because the mean of its divisors is an integer number (156610606671).

Almost surely, 2313221213341 is an apocalyptic number.

It is an amenable number.

313221213341 is a deficient number, since it is larger than the sum of its proper divisors (1).

313221213341 is an equidigital number, since it uses as much as digits as its factorization.

313221213341 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 26.

Adding to 313221213341 its reverse (143312122313), we get a palindrome (456533335654).

The spelling of 313221213341 in words is "three hundred thirteen billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred forty-one".