Search a number
-
+
312236363632213 is a prime number
BaseRepresentation
bin100011011111110100011000…
…1100010100100111001010101
31111221112111122000220021211001
41012333220301202210321111
5311411140033042212323
63024023223311143301
7122524222110306046
oct10677506142447125
91457474560807731
10312236363632213
1190540775315629
122b0295ba514b31
131052b9bb9c17b7
14571646bb688cd
152616eb73433ad
hex11bfa318a4e55

312236363632213 has 2 divisors, whose sum is σ = 312236363632214. Its totient is φ = 312236363632212.

The previous prime is 312236363632211. The next prime is 312236363632243.

312236363632213 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311573086953489 + 663276678724 = 17651433^2 + 814418^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 312236363632213 - 21 = 312236363632211 is a prime.

Together with 312236363632211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312236363632211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156118181816106 + 156118181816107.

It is an arithmetic number, because the mean of its divisors is an integer number (156118181816107).

Almost surely, 2312236363632213 is an apocalyptic number.

It is an amenable number.

312236363632213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312236363632213 is an equidigital number, since it uses as much as digits as its factorization.

312236363632213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2519424, while the sum is 46.

The spelling of 312236363632213 in words is "three hundred twelve trillion, two hundred thirty-six billion, three hundred sixty-three million, six hundred thirty-two thousand, two hundred thirteen".