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312213311149 is a prime number
BaseRepresentation
bin1001000101100010101…
…11010000111010101101
31002211212200102111222111
410202301113100322231
520103403101424044
6355232342444021
731361636233435
oct4426127207255
91084780374874
10312213311149
11110455302783
1250613733611
132359822b43c
141117b2092c5
1581c4a17b34
hex48b15d0ead

312213311149 has 2 divisors, whose sum is σ = 312213311150. Its totient is φ = 312213311148.

The previous prime is 312213311071. The next prime is 312213311153. The reversal of 312213311149 is 941113312213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312039546025 + 173765124 = 558605^2 + 13182^2 .

It is a cyclic number.

It is not a de Polignac number, because 312213311149 - 221 = 312211213997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312213311149.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312213311749) 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, 156106655574 + 156106655575.

It is an arithmetic number, because the mean of its divisors is an integer number (156106655575).

Almost surely, 2312213311149 is an apocalyptic number.

It is an amenable number.

312213311149 is a deficient number, since it is larger than the sum of its proper divisors (1).

312213311149 is an equidigital number, since it uses as much as digits as its factorization.

312213311149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 31.

The spelling of 312213311149 in words is "three hundred twelve billion, two hundred thirteen million, three hundred eleven thousand, one hundred forty-nine".