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10311331097 is a prime number
BaseRepresentation
bin10011001101001101…
…00110110100011001
3222121121120220002202
421212212212310121
5132104200043342
64423103335545
7513344603534
oct114646466431
928547526082
1010311331097
114411528741
121bb92b15b5
13c84354962
146db645a1b
154053a9332
hex2669a6d19

10311331097 has 2 divisors, whose sum is σ = 10311331098. Its totient is φ = 10311331096.

The previous prime is 10311331091. The next prime is 10311331109. The reversal of 10311331097 is 79013311301.

10311331097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9681772816 + 629558281 = 98396^2 + 25091^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311331097 - 26 = 10311331033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10311331091) 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, 5155665548 + 5155665549.

It is an arithmetic number, because the mean of its divisors is an integer number (5155665549).

Almost surely, 210311331097 is an apocalyptic number.

It is an amenable number.

10311331097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311331097 is an equidigital number, since it uses as much as digits as its factorization.

10311331097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1701, while the sum is 29.

Adding to 10311331097 its reverse (79013311301), we get a palindrome (89324642398).

The spelling of 10311331097 in words is "ten billion, three hundred eleven million, three hundred thirty-one thousand, ninety-seven".