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312212201113 is a prime number
BaseRepresentation
bin1001000101100010100…
…11000001111010011001
31002211212121100010022001
410202301103001322121
520103402310413423
6355232303001001
731361623631251
oct4426123017231
91084777303261
10312212201113
1111045471479a
1250613299161
1323597c30107
141117adda961
1581c4898cad
hex48b14c1e99

312212201113 has 2 divisors, whose sum is σ = 312212201114. Its totient is φ = 312212201112.

The previous prime is 312212201111. The next prime is 312212201117. The reversal of 312212201113 is 311102212213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 269731693449 + 42480507664 = 519357^2 + 206108^2 .

It is a cyclic number.

It is not a de Polignac number, because 312212201113 - 21 = 312212201111 is a prime.

Together with 312212201111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (312212201111) 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, 156106100556 + 156106100557.

It is an arithmetic number, because the mean of its divisors is an integer number (156106100557).

Almost surely, 2312212201113 is an apocalyptic number.

It is an amenable number.

312212201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312212201113 is an equidigital number, since it uses as much as digits as its factorization.

312212201113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 312212201113 its reverse (311102212213), we get a palindrome (623314413326).

The spelling of 312212201113 in words is "three hundred twelve billion, two hundred twelve million, two hundred one thousand, one hundred thirteen".