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313120222404281 is a prime number
BaseRepresentation
bin100011100110001111111101…
…1101000001101111010111001
31112001200000000200010000221122
41013030133323220031322321
5312020130203413414111
63025541235552115025
7122645122003023035
oct10714377350157271
91461600020100848
10313120222404281
11908515a4579a26
122b150968b35a75
1310594158377456
1457471575391c5
15262ee9777dcdb
hex11cc7fba0deb9

313120222404281 has 2 divisors, whose sum is σ = 313120222404282. Its totient is φ = 313120222404280.

The previous prime is 313120222404211. The next prime is 313120222404419. The reversal of 313120222404281 is 182404222021313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205311643690000 + 107808578714281 = 14328700^2 + 10383091^2 .

It is a cyclic number.

It is not a de Polignac number, because 313120222404281 - 210 = 313120222403257 is a prime.

It is a super-2 number, since 2×3131202224042812 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313120222404211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156560111202140 + 156560111202141.

It is an arithmetic number, because the mean of its divisors is an integer number (156560111202141).

Almost surely, 2313120222404281 is an apocalyptic number.

It is an amenable number.

313120222404281 is a deficient number, since it is larger than the sum of its proper divisors (1).

313120222404281 is an equidigital number, since it uses as much as digits as its factorization.

313120222404281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 313120222404281 its reverse (182404222021313), we get a palindrome (495524444425594).

The spelling of 313120222404281 in words is "three hundred thirteen trillion, one hundred twenty billion, two hundred twenty-two million, four hundred four thousand, two hundred eighty-one".