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182002002001 is a prime number
BaseRepresentation
bin1010100110000000101…
…0100010100001010001
3122101210000212122200221
42221200022202201101
510440220003031001
6215335514313041
716102115330431
oct2514012424121
9571700778627
10182002002001
1170206426996
122b334128781
131421663cc11
148b47a562c1
154b033641a1
hex2a602a2851

182002002001 has 2 divisors, whose sum is σ = 182002002002. Its totient is φ = 182002002000.

The previous prime is 182002001981. The next prime is 182002002011. The reversal of 182002002001 is 100200200281.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122534302401 + 59467699600 = 350049^2 + 243860^2 .

It is a cyclic number.

It is not a de Polignac number, because 182002002001 - 25 = 182002001969 is a prime.

It is not a weakly prime, because it can be changed into another prime (182002002011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 91001001000 + 91001001001.

It is an arithmetic number, because the mean of its divisors is an integer number (91001001001).

Almost surely, 2182002002001 is an apocalyptic number.

It is an amenable number.

182002002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

182002002001 is an equidigital number, since it uses as much as digits as its factorization.

182002002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 182002002001 its reverse (100200200281), we get a palindrome (282202202282).

The spelling of 182002002001 in words is "one hundred eighty-two billion, two million, two thousand, one".