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12225441031 is a prime number
BaseRepresentation
bin10110110001011000…
…10110110100000111
31011120000022202022021
423120230112310013
5200014203103111
65341041344011
7611646351136
oct133054266407
934500282267
1012225441031
115203a40881
122452338007
1311caa8899b
1483d94391d
154b8452d71
hex2d8b16d07

12225441031 has 2 divisors, whose sum is σ = 12225441032. Its totient is φ = 12225441030.

The previous prime is 12225441029. The next prime is 12225441061. The reversal of 12225441031 is 13014452221.

12225441031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 12225441031 - 21 = 12225441029 is a prime.

It is a super-2 number, since 2×122254410312 (a number of 21 digits) contains 22 as substring.

Together with 12225441029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 12225440987 and 12225441005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12225441061) 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, 6112720515 + 6112720516.

It is an arithmetic number, because the mean of its divisors is an integer number (6112720516).

Almost surely, 212225441031 is an apocalyptic number.

12225441031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12225441031 is an equidigital number, since it uses as much as digits as its factorization.

12225441031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12225441031 its reverse (13014452221), we get a palindrome (25239893252).

The spelling of 12225441031 in words is "twelve billion, two hundred twenty-five million, four hundred forty-one thousand, thirty-one".