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182000181997 is a prime number
BaseRepresentation
bin1010100110000000001…
…1100110001011101101
3122101202220110012010101
42221200003212023231
510440214021310442
6215335411311101
716102064010334
oct2514003461355
9571686405111
10182000181997
11702053a3557
122b3335ab491
13142161536aa
148b47700d1b
154b03104cb7
hex2a600e62ed

182000181997 has 2 divisors, whose sum is σ = 182000181998. Its totient is φ = 182000181996.

The previous prime is 182000181971. The next prime is 182000182027. The reversal of 182000181997 is 799181000281.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 177751619236 + 4248562761 = 421606^2 + 65181^2 .

It is a cyclic number.

It is not a de Polignac number, because 182000181997 - 231 = 179852698349 is a prime.

It is a super-2 number, since 2×1820001819972 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (182000184997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91000090998 + 91000090999.

It is an arithmetic number, because the mean of its divisors is an integer number (91000090999).

Almost surely, 2182000181997 is an apocalyptic number.

It is an amenable number.

182000181997 is a deficient number, since it is larger than the sum of its proper divisors (1).

182000181997 is an equidigital number, since it uses as much as digits as its factorization.

182000181997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 46.

The spelling of 182000181997 in words is "one hundred eighty-two billion, one hundred eighty-one thousand, nine hundred ninety-seven".