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82290820061 is a prime number
BaseRepresentation
bin100110010100011101…
…0100100001111011101
321212101222200210100102
41030220322210033131
52322012422220221
6101445345510445
75642146300202
oct1145072441735
9255358623312
1082290820061
11319990280aa
1213b47042425
1379b5914748
143da90d7ca9
15221967a30b
hex1328ea43dd

82290820061 has 2 divisors, whose sum is σ = 82290820062. Its totient is φ = 82290820060.

The previous prime is 82290820039. The next prime is 82290820063. The reversal of 82290820061 is 16002809228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75166447225 + 7124372836 = 274165^2 + 84406^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82290820061 is a prime.

Together with 82290820063, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82290819997 and 82290820024.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82290820063) 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, 41145410030 + 41145410031.

It is an arithmetic number, because the mean of its divisors is an integer number (41145410031).

Almost surely, 282290820061 is an apocalyptic number.

It is an amenable number.

82290820061 is a deficient number, since it is larger than the sum of its proper divisors (1).

82290820061 is an equidigital number, since it uses as much as digits as its factorization.

82290820061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 82290820061 in words is "eighty-two billion, two hundred ninety million, eight hundred twenty thousand, sixty-one".