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313115201401 is a prime number
BaseRepresentation
bin1001000111001110001…
…11101100111101111001
31002221012112111021211011
410203213013230331321
520112224442421101
6355502041233521
731423200204202
oct4434707547571
91087175437734
10313115201401
11110878406222
12508257928a1
13236b0037302
1411224cd85a9
158228cb9751
hex48e71ecf79

313115201401 has 2 divisors, whose sum is σ = 313115201402. Its totient is φ = 313115201400.

The previous prime is 313115201383. The next prime is 313115201411. The reversal of 313115201401 is 104102511313.

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., 221836290025 + 91278911376 = 470995^2 + 302124^2 .

It is an emirp because it is prime and its reverse (104102511313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313115201401 - 223 = 313106812793 is a prime.

It is a super-2 number, since 2×3131152014012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (313115201411) 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, 156557600700 + 156557600701.

It is an arithmetic number, because the mean of its divisors is an integer number (156557600701).

Almost surely, 2313115201401 is an apocalyptic number.

It is an amenable number.

313115201401 is a deficient number, since it is larger than the sum of its proper divisors (1).

313115201401 is an equidigital number, since it uses as much as digits as its factorization.

313115201401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 313115201401 its reverse (104102511313), we get a palindrome (417217712714).

The spelling of 313115201401 in words is "three hundred thirteen billion, one hundred fifteen million, two hundred one thousand, four hundred one".