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82822131937 is a prime number
BaseRepresentation
bin100110100100010010…
…1010111000011100001
321220210000110020020001
41031020211113003201
52324104431210222
6102014205420001
75661260335336
oct1151045270341
9256700406201
1082822131937
1132140a30626
1214074b6a601
137a6ba1097c
1440198c098d
15224b12ae27
hex13489570e1

82822131937 has 2 divisors, whose sum is σ = 82822131938. Its totient is φ = 82822131936.

The previous prime is 82822131919. The next prime is 82822131979. The reversal of 82822131937 is 73913122828.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61036667136 + 21785464801 = 247056^2 + 147599^2 .

It is a cyclic number.

It is not a de Polignac number, because 82822131937 - 27 = 82822131809 is a prime.

It is not a weakly prime, because it can be changed into another prime (82822131437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41411065968 + 41411065969.

It is an arithmetic number, because the mean of its divisors is an integer number (41411065969).

Almost surely, 282822131937 is an apocalyptic number.

It is an amenable number.

82822131937 is a deficient number, since it is larger than the sum of its proper divisors (1).

82822131937 is an equidigital number, since it uses as much as digits as its factorization.

82822131937 is an evil number, because the sum of its binary digits is even.

The product of its digits is 290304, while the sum is 46.

The spelling of 82822131937 in words is "eighty-two billion, eight hundred twenty-two million, one hundred thirty-one thousand, nine hundred thirty-seven".