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312221223131 is a prime number
BaseRepresentation
bin1001000101100011101…
…01011100100011011011
31002211220020022111011212
410202301311130203123
520103412113120011
6355233224213335
731362063415436
oct4426165344333
91084806274155
10312221223131
11110459817104
125061630a24b
1323599a6b79c
141117c2a881d
1581c557c08b
hex48b1d5c8db

312221223131 has 2 divisors, whose sum is σ = 312221223132. Its totient is φ = 312221223130.

The previous prime is 312221223121. The next prime is 312221223143. The reversal of 312221223131 is 131322122213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312221223131 is a prime.

It is a super-2 number, since 2×3122212231312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312221223097 and 312221223106.

It is not a weakly prime, because it can be changed into another prime (312221223121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156110611565 + 156110611566.

It is an arithmetic number, because the mean of its divisors is an integer number (156110611566).

Almost surely, 2312221223131 is an apocalyptic number.

312221223131 is a deficient number, since it is larger than the sum of its proper divisors (1).

312221223131 is an equidigital number, since it uses as much as digits as its factorization.

312221223131 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 312221223131 its reverse (131322122213), we get a palindrome (443543345344).

The spelling of 312221223131 in words is "three hundred twelve billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred thirty-one".