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312213221213 is a prime number
BaseRepresentation
bin1001000101100010101…
…10111010111101011101
31002211212200020221121112
410202301112322331131
520103403041034323
6355232340511405
731361635410305
oct4426126727535
91084780227545
10312213221213
11110455251153
12506136ab565
13235981c951a
141117b1c4605
1581c49eb178
hex48b15baf5d

312213221213 has 2 divisors, whose sum is σ = 312213221214. Its totient is φ = 312213221212.

The previous prime is 312213221209. The next prime is 312213221237. The reversal of 312213221213 is 312122312213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194469534169 + 117743687044 = 440987^2 + 343138^2 .

It is a cyclic number.

It is not a de Polignac number, because 312213221213 - 22 = 312213221209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312212221213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156106610606 + 156106610607.

It is an arithmetic number, because the mean of its divisors is an integer number (156106610607).

Almost surely, 2312213221213 is an apocalyptic number.

It is an amenable number.

312213221213 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213221213 is an equidigital number, since it uses as much as digits as its factorization.

312213221213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 864, while the sum is 23.

Adding to 312213221213 its reverse (312122312213), we get a palindrome (624335533426).

The spelling of 312213221213 in words is "three hundred twelve billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred thirteen".