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213003142201 is a prime number
BaseRepresentation
bin1100011001011111111…
…0100000010000111001
3202100210112222202020201
43012113332200100321
511442212301022301
6241504032322201
721250262556403
oct3062776402071
9670715882221
10213003142201
11823747a2413
12353463a3361
1317117251165
14a449027b73
155819ce7201
hex3197fa0439

213003142201 has 2 divisors, whose sum is σ = 213003142202. Its totient is φ = 213003142200.

The previous prime is 213003142171. The next prime is 213003142211. The reversal of 213003142201 is 102241300312.

It is a happy number.

213003142201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210886682176 + 2116460025 = 459224^2 + 46005^2 .

It is a cyclic number.

It is not a de Polignac number, because 213003142201 - 25 = 213003142169 is a prime.

It is not a weakly prime, because it can be changed into another prime (213003142211) 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, 106501571100 + 106501571101.

It is an arithmetic number, because the mean of its divisors is an integer number (106501571101).

Almost surely, 2213003142201 is an apocalyptic number.

It is an amenable number.

213003142201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213003142201 is an equidigital number, since it uses as much as digits as its factorization.

213003142201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 213003142201 its reverse (102241300312), we get a palindrome (315244442513).

The spelling of 213003142201 in words is "two hundred thirteen billion, three million, one hundred forty-two thousand, two hundred one".