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31818077441 is a prime number
BaseRepresentation
bin11101101000100000…
…010101010100000001
310001010110022210202122
4131220200111110001
51010130411434231
622341135454025
72204324124113
oct355040252401
9101113283678
1031818077441
1112548525577
1261bb987315
133000c44477
14177baa93b3
15c6355377b
hex768815501

31818077441 has 2 divisors, whose sum is σ = 31818077442. Its totient is φ = 31818077440.

The previous prime is 31818077413. The next prime is 31818077509. The reversal of 31818077441 is 14477081813.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22111690000 + 9706387441 = 148700^2 + 98521^2 .

It is a cyclic number.

It is not a de Polignac number, because 31818077441 - 210 = 31818076417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31818077392 and 31818077401.

It is not a weakly prime, because it can be changed into another prime (31818077041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15909038720 + 15909038721.

It is an arithmetic number, because the mean of its divisors is an integer number (15909038721).

Almost surely, 231818077441 is an apocalyptic number.

It is an amenable number.

31818077441 is a deficient number, since it is larger than the sum of its proper divisors (1).

31818077441 is an equidigital number, since it uses as much as digits as its factorization.

31818077441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150528, while the sum is 44.

The spelling of 31818077441 in words is "thirty-one billion, eight hundred eighteen million, seventy-seven thousand, four hundred forty-one".