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2314340434097 is a prime number
BaseRepresentation
bin100001101011011001011…
…100001000000010110001
322012020201100211102001222
4201223121130020002301
5300404232122342342
64531105431234425
7326130341052236
oct41533134100261
98166640742058
102314340434097
1181256292750a
1231464bb18a15
1313a31a388c33
148002c3a578d
1540304618ed2
hex21ad97080b1

2314340434097 has 2 divisors, whose sum is σ = 2314340434098. Its totient is φ = 2314340434096.

The previous prime is 2314340434031. The next prime is 2314340434103. The reversal of 2314340434097 is 7904340434132.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2293213520896 + 21126913201 = 1514336^2 + 145351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2314340434097 - 210 = 2314340433073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2314340434697) 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, 1157170217048 + 1157170217049.

It is an arithmetic number, because the mean of its divisors is an integer number (1157170217049).

Almost surely, 22314340434097 is an apocalyptic number.

It is an amenable number.

2314340434097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2314340434097 is an equidigital number, since it uses as much as digits as its factorization.

2314340434097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 44.

The spelling of 2314340434097 in words is "two trillion, three hundred fourteen billion, three hundred forty million, four hundred thirty-four thousand, ninety-seven".