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20312042334257 is a prime number
BaseRepresentation
bin1001001111001010001000…
…00100010110100000110001
32122220210221011011111102202
410213211010010112200301
510130243030314144012
6111111120132152545
74164332226060422
oct447450404264061
978823834144382
1020312042334257
11652131a4002a3
122340739a68755
13b44556c7a2cb
1450317287b649
15253569878cc2
hex127944116831

20312042334257 has 2 divisors, whose sum is σ = 20312042334258. Its totient is φ = 20312042334256.

The previous prime is 20312042334251. The next prime is 20312042334313. The reversal of 20312042334257 is 75243324021302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20287421272336 + 24621061921 = 4504156^2 + 156911^2 .

It is a cyclic number.

It is not a de Polignac number, because 20312042334257 - 230 = 20310968592433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20312042334257.

It is not a weakly prime, because it can be changed into another prime (20312042334251) 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, 10156021167128 + 10156021167129.

It is an arithmetic number, because the mean of its divisors is an integer number (10156021167129).

Almost surely, 220312042334257 is an apocalyptic number.

It is an amenable number.

20312042334257 is a deficient number, since it is larger than the sum of its proper divisors (1).

20312042334257 is an equidigital number, since it uses as much as digits as its factorization.

20312042334257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 38.

Adding to 20312042334257 its reverse (75243324021302), we get a palindrome (95555366355559).

The spelling of 20312042334257 in words is "twenty trillion, three hundred twelve billion, forty-two million, three hundred thirty-four thousand, two hundred fifty-seven".