Search a number
-
+
132020203300229 is a prime number
BaseRepresentation
bin11110000001001001011001…
…010100100010010110000101
3122022110000012221221010110202
4132001021121110202112011
5114301004334021101404
61144441124421500245
736544100465344466
oct3601113124422605
9568400187833422
10132020203300229
113907a4aa004552
1212982496b71685
1358885b466567a
142485b51d34d6d
15103e23609e21e
hex781259522585

132020203300229 has 2 divisors, whose sum is σ = 132020203300230. Its totient is φ = 132020203300228.

The previous prime is 132020203300201. The next prime is 132020203300241. The reversal of 132020203300229 is 922003302020231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109867649077729 + 22152554222500 = 10481777^2 + 4706650^2 .

It is an emirp because it is prime and its reverse (922003302020231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132020203300229 is a prime.

It is a super-3 number, since 3×1320202033002293 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (132020203300259) 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, 66010101650114 + 66010101650115.

It is an arithmetic number, because the mean of its divisors is an integer number (66010101650115).

Almost surely, 2132020203300229 is an apocalyptic number.

It is an amenable number.

132020203300229 is a deficient number, since it is larger than the sum of its proper divisors (1).

132020203300229 is an equidigital number, since it uses as much as digits as its factorization.

132020203300229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 132020203300229 in words is "one hundred thirty-two trillion, twenty billion, two hundred three million, three hundred thousand, two hundred twenty-nine".