Search a number
-
+
10223314313 is a prime number
BaseRepresentation
bin10011000010101101…
…10110010110001001
3222101110222011202212
421201112312112021
5131414132024223
64410241034505
7511225511042
oct114126662611
928343864685
1010223314313
1143768813a3
121b93925a35
13c6c048614
146cda938c9
153ec7c0278
hex2615b6589

10223314313 has 2 divisors, whose sum is σ = 10223314314. Its totient is φ = 10223314312.

The previous prime is 10223314303. The next prime is 10223314331. The reversal of 10223314313 is 31341332201.

Together with next prime (10223314331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9283707904 + 939606409 = 96352^2 + 30653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223314313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223314303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111657156 + 5111657157.

It is an arithmetic number, because the mean of its divisors is an integer number (5111657157).

Almost surely, 210223314313 is an apocalyptic number.

It is an amenable number.

10223314313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223314313 is an equidigital number, since it uses as much as digits as its factorization.

10223314313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10223314313 its reverse (31341332201), we get a palindrome (41564646514).

The spelling of 10223314313 in words is "ten billion, two hundred twenty-three million, three hundred fourteen thousand, three hundred thirteen".