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82369336141 is a prime number
BaseRepresentation
bin100110010110110011…
…0000101001101001101
321212121110102211011101
41030231212011031031
52322143022224031
6101501232423101
75644121543101
oct1145546051515
9255543384141
1082369336141
1131a29385424
1213b693a7a91
1379c8c75571
143db56d5901
1522214d9361
hex132d98534d

82369336141 has 2 divisors, whose sum is σ = 82369336142. Its totient is φ = 82369336140.

The previous prime is 82369336079. The next prime is 82369336157. The reversal of 82369336141 is 14163396328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74390380516 + 7978955625 = 272746^2 + 89325^2 .

It is a cyclic number.

It is not a de Polignac number, because 82369336141 - 213 = 82369327949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82369336091 and 82369336100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82369334141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41184668070 + 41184668071.

It is an arithmetic number, because the mean of its divisors is an integer number (41184668071).

Almost surely, 282369336141 is an apocalyptic number.

It is an amenable number.

82369336141 is a deficient number, since it is larger than the sum of its proper divisors (1).

82369336141 is an equidigital number, since it uses as much as digits as its factorization.

82369336141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 559872, while the sum is 46.

The spelling of 82369336141 in words is "eighty-two billion, three hundred sixty-nine million, three hundred thirty-six thousand, one hundred forty-one".