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82611232441 is a prime number
BaseRepresentation
bin100110011110000000…
…0110101111010111001
321220020022121102111121
41030330000311322321
52323141433414231
6101541233225241
75653116614113
oct1147400657271
9256208542447
1082611232441
1132042983721
1214016402221
137a3710b57a
143dd98a23b3
15223786c311
hex133c035eb9

82611232441 has 2 divisors, whose sum is σ = 82611232442. Its totient is φ = 82611232440.

The previous prime is 82611232427. The next prime is 82611232453. The reversal of 82611232441 is 14423211628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67195526841 + 15415705600 = 259221^2 + 124160^2 .

It is a cyclic number.

It is not a de Polignac number, because 82611232441 - 25 = 82611232409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82611232397 and 82611232406.

It is not a weakly prime, because it can be changed into another prime (82611202441) 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, 41305616220 + 41305616221.

It is an arithmetic number, because the mean of its divisors is an integer number (41305616221).

Almost surely, 282611232441 is an apocalyptic number.

It is an amenable number.

82611232441 is a deficient number, since it is larger than the sum of its proper divisors (1).

82611232441 is an equidigital number, since it uses as much as digits as its factorization.

82611232441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18432, while the sum is 34.

The spelling of 82611232441 in words is "eighty-two billion, six hundred eleven million, two hundred thirty-two thousand, four hundred forty-one".