Search a number
-
+
312210202313 is a prime number
BaseRepresentation
bin1001000101100010010…
…11011001111011001001
31002211212110120120110102
410202301023121323021
520103401302433223
6355232152055145
731361600634662
oct4426113317311
91084773516412
10312210202313
11110453579a99
12506126944b5
13235976b03a9
141117aa3a369
1581c4601928
hex48b12d9ec9

312210202313 has 2 divisors, whose sum is σ = 312210202314. Its totient is φ = 312210202312.

The previous prime is 312210202307. The next prime is 312210202321. The reversal of 312210202313 is 313202012213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 305026453264 + 7183749049 = 552292^2 + 84757^2 .

It is a cyclic number.

It is not a de Polignac number, because 312210202313 - 224 = 312193425097 is a prime.

It is not a weakly prime, because it can be changed into another prime (312210202333) 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, 156105101156 + 156105101157.

It is an arithmetic number, because the mean of its divisors is an integer number (156105101157).

Almost surely, 2312210202313 is an apocalyptic number.

It is an amenable number.

312210202313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312210202313 is an equidigital number, since it uses as much as digits as its factorization.

312210202313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 312210202313 its reverse (313202012213), we get a palindrome (625412214526).

The spelling of 312210202313 in words is "three hundred twelve billion, two hundred ten million, two hundred two thousand, three hundred thirteen".