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313422121224313 is a prime number
BaseRepresentation
bin100011101000011100100011…
…0001100110100100001111001
31112002201212021112000010002121
41013100321012030310201321
5312040102001013134223
63030332045035401241
7123006000225452023
oct10720710614644171
91462655245003077
10313422121224313
1190958636595882
122b19b3822b3221
13105b676b6b57ba
1457579d6919013
152637c669b615d
hex11d0e46334879

313422121224313 has 2 divisors, whose sum is σ = 313422121224314. Its totient is φ = 313422121224312.

The previous prime is 313422121224299. The next prime is 313422121224337.

313422121224313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 278637286074624 + 34784835149689 = 16692432^2 + 5897867^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313422121224313 is a prime.

It is not a weakly prime, because it can be changed into another prime (313422121228313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156711060612156 + 156711060612157.

It is an arithmetic number, because the mean of its divisors is an integer number (156711060612157).

Almost surely, 2313422121224313 is an apocalyptic number.

It is an amenable number.

313422121224313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313422121224313 is an equidigital number, since it uses as much as digits as its factorization.

313422121224313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 41472, while the sum is 34.

The spelling of 313422121224313 in words is "three hundred thirteen trillion, four hundred twenty-two billion, one hundred twenty-one million, two hundred twenty-four thousand, three hundred thirteen".