Search a number
-
+
10223031001297 is a prime number
BaseRepresentation
bin1001010011000011110000…
…1000011010000011010001
31100012022102121102000200211
42110300330020122003101
52314443231414020142
633424221241244121
72103406144516552
oct224607410320321
940168377360624
1010223031001297
113291621539394
121191360493641
13592048a9c4ca
14274b23c8c329
1512add029c917
hex94c3c21a0d1

10223031001297 has 2 divisors, whose sum is σ = 10223031001298. Its totient is φ = 10223031001296.

The previous prime is 10223031001279. The next prime is 10223031001343. The reversal of 10223031001297 is 79210013032201.

Together with previous prime (10223031001279) 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., 7869825913041 + 2353205088256 = 2805321^2 + 1534016^2 .

It is an emirp because it is prime and its reverse (79210013032201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223031001297 - 235 = 10188671262929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223031001207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111515500648 + 5111515500649.

It is an arithmetic number, because the mean of its divisors is an integer number (5111515500649).

Almost surely, 210223031001297 is an apocalyptic number.

It is an amenable number.

10223031001297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223031001297 is an equidigital number, since it uses as much as digits as its factorization.

10223031001297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 31.

Adding to 10223031001297 its reverse (79210013032201), we get a palindrome (89433044033498).

The spelling of 10223031001297 in words is "ten trillion, two hundred twenty-three billion, thirty-one million, one thousand, two hundred ninety-seven".