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313444401401 is a prime number
BaseRepresentation
bin1001000111110101011…
…11100000000011111001
31002222001110221101022202
410203322233200003321
520113413231321101
6355554441155545
731434305311025
oct4437257400371
91088043841282
10313444401401
11110a2721403a
12508b7a8bbb5
13237332b9c01
141125690d385
158247b4536b
hex48fabe00f9

313444401401 has 2 divisors, whose sum is σ = 313444401402. Its totient is φ = 313444401400.

The previous prime is 313444401367. The next prime is 313444401427. The reversal of 313444401401 is 104104444313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304840911376 + 8603490025 = 552124^2 + 92755^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313444401401 is a prime.

It is not a weakly prime, because it can be changed into another prime (313444401901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156722200700 + 156722200701.

It is an arithmetic number, because the mean of its divisors is an integer number (156722200701).

Almost surely, 2313444401401 is an apocalyptic number.

It is an amenable number.

313444401401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313444401401 is an equidigital number, since it uses as much as digits as its factorization.

313444401401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 313444401401 its reverse (104104444313), we get a palindrome (417548845714).

The spelling of 313444401401 in words is "three hundred thirteen billion, four hundred forty-four million, four hundred one thousand, four hundred one".