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313423011101 is a prime number
BaseRepresentation
bin1001000111110010111…
…01111001110100011101
31002221222222200122100102
410203321131321310131
520113342242323401
6355552354510445
731433625431444
oct4437135716435
91087888618312
10313423011101
11110a16134202
12508b0895425
132372ba3aa25
1411253b41d5b
158245d1c56b
hex48f9779d1d

313423011101 has 2 divisors, whose sum is σ = 313423011102. Its totient is φ = 313423011100.

The previous prime is 313423011091. The next prime is 313423011113. The reversal of 313423011101 is 101110324313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200369035876 + 113053975225 = 447626^2 + 336235^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313423011101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313423011151) 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, 156711505550 + 156711505551.

It is an arithmetic number, because the mean of its divisors is an integer number (156711505551).

Almost surely, 2313423011101 is an apocalyptic number.

It is an amenable number.

313423011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313423011101 is an equidigital number, since it uses as much as digits as its factorization.

313423011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 313423011101 its reverse (101110324313), we get a palindrome (414533335414).

The spelling of 313423011101 in words is "three hundred thirteen billion, four hundred twenty-three million, eleven thousand, one hundred one".