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313123141 is a prime number
BaseRepresentation
bin10010101010011…
…110000101000101
3210211012022012101
4102222132011011
51120124420031
651023152101
710521334312
oct2252360505
9724168171
10313123141
11150828061
1288a45631
134cb44086
142d82bd09
151c752361
hex12a9e145

313123141 has 2 divisors, whose sum is σ = 313123142. Its totient is φ = 313123140.

The previous prime is 313123133. The next prime is 313123169. The reversal of 313123141 is 141321313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211818916 + 101304225 = 14554^2 + 10065^2 .

It is a cyclic number.

It is not a de Polignac number, because 313123141 - 23 = 313123133 is a prime.

It is a super-2 number, since 2×3131231412 = 196092202859411762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313123441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156561570 + 156561571.

It is an arithmetic number, because the mean of its divisors is an integer number (156561571).

Almost surely, 2313123141 is an apocalyptic number.

It is an amenable number.

313123141 is a deficient number, since it is larger than the sum of its proper divisors (1).

313123141 is an equidigital number, since it uses as much as digits as its factorization.

313123141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 313123141 is about 17695.2858411499. The cubic root of 313123141 is about 679.0551619788.

Adding to 313123141 its reverse (141321313), we get a palindrome (454444454).

It can be divided in two parts, 31312 and 3141, that added together give a triangular number (34453 = T262).

The spelling of 313123141 in words is "three hundred thirteen million, one hundred twenty-three thousand, one hundred forty-one".