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312312221131 is a prime number
BaseRepresentation
bin1001000101101110100…
…00100100110111001011
31002212010120112122222011
410202313100210313023
520104103412034011
6355250234440351
731364250035641
oct4426720446713
91085116478864
10312312221131
111104a611a269
12506408930b7
13235b287ca61
141118a3d5191
1581cd554621
hex48b7424dcb

312312221131 has 2 divisors, whose sum is σ = 312312221132. Its totient is φ = 312312221130.

The previous prime is 312312221119. The next prime is 312312221147. The reversal of 312312221131 is 131122213213.

It is a weak prime.

It is an emirp because it is prime and its reverse (131122213213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312312221131 - 219 = 312311696843 is a prime.

It is a super-2 number, since 2×3123122211312 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312312221531) 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, 156156110565 + 156156110566.

It is an arithmetic number, because the mean of its divisors is an integer number (156156110566).

Almost surely, 2312312221131 is an apocalyptic number.

312312221131 is a deficient number, since it is larger than the sum of its proper divisors (1).

312312221131 is an equidigital number, since it uses as much as digits as its factorization.

312312221131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 22.

Adding to 312312221131 its reverse (131122213213), we get a palindrome (443434434344).

The spelling of 312312221131 in words is "three hundred twelve billion, three hundred twelve million, two hundred twenty-one thousand, one hundred thirty-one".