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82238605133 is a prime number
BaseRepresentation
bin100110010010111001…
…1011000011101001101
321212021100102222221012
41030211303120131031
52321411040331013
6101440242415005
75640643416116
oct1144563303515
9255240388835
1082238605133
1131971604273
1213b31661465
1379a7b62139
143da21c520d
152214cb41a8
hex1325cd874d

82238605133 has 2 divisors, whose sum is σ = 82238605134. Its totient is φ = 82238605132.

The previous prime is 82238605129. The next prime is 82238605147. The reversal of 82238605133 is 33150683228.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82207211524 + 31393609 = 286718^2 + 5603^2 .

It is a cyclic number.

It is not a de Polignac number, because 82238605133 - 22 = 82238605129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82238605193) 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, 41119302566 + 41119302567.

It is an arithmetic number, because the mean of its divisors is an integer number (41119302567).

Almost surely, 282238605133 is an apocalyptic number.

It is an amenable number.

82238605133 is a deficient number, since it is larger than the sum of its proper divisors (1).

82238605133 is an equidigital number, since it uses as much as digits as its factorization.

82238605133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 82238605133 in words is "eighty-two billion, two hundred thirty-eight million, six hundred five thousand, one hundred thirty-three".