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3101031022097 is a prime number
BaseRepresentation
bin101101001000000011110…
…110100011111000010001
3101222110022011221222010102
4231020003312203320101
5401301402420201342
610332332144542145
7440020303526651
oct55100366437021
911873264858112
103101031022097
11a9615a193a58
12421001021955
1319656cb1ba98
14aa13ac5c361
15559e923b832
hex2d203da3e11

3101031022097 has 2 divisors, whose sum is σ = 3101031022098. Its totient is φ = 3101031022096.

The previous prime is 3101031022093. The next prime is 3101031022153. The reversal of 3101031022097 is 7902201301013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1605311806081 + 1495719216016 = 1267009^2 + 1222996^2 .

It is a cyclic number.

It is not a de Polignac number, because 3101031022097 - 22 = 3101031022093 is a prime.

It is not a weakly prime, because it can be changed into another prime (3101031022093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550515511048 + 1550515511049.

It is an arithmetic number, because the mean of its divisors is an integer number (1550515511049).

Almost surely, 23101031022097 is an apocalyptic number.

It is an amenable number.

3101031022097 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101031022097 is an equidigital number, since it uses as much as digits as its factorization.

3101031022097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The spelling of 3101031022097 in words is "three trillion, one hundred one billion, thirty-one million, twenty-two thousand, ninety-seven".