Search a number
-
+
213301414201 is a prime number
BaseRepresentation
bin1100011010100111000…
…0010100100100111001
3202101120100020112111211
43012221300110210321
511443320130223301
6241553405323121
721260544051151
oct3065160244471
9671510215454
10213301414201
11825080a65a7
123540a2664a1
1317163c95575
14a4768ab761
1558360b4051
hex31a9c14939

213301414201 has 2 divisors, whose sum is σ = 213301414202. Its totient is φ = 213301414200.

The previous prime is 213301414141. The next prime is 213301414223. The reversal of 213301414201 is 102414103312.

It is an a-pointer prime, because the next prime (213301414223) can be obtained adding 213301414201 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203130490000 + 10170924201 = 450700^2 + 100851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213301414201 is a prime.

It is not a weakly prime, because it can be changed into another prime (213301418201) 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, 106650707100 + 106650707101.

It is an arithmetic number, because the mean of its divisors is an integer number (106650707101).

Almost surely, 2213301414201 is an apocalyptic number.

It is an amenable number.

213301414201 is a deficient number, since it is larger than the sum of its proper divisors (1).

213301414201 is an equidigital number, since it uses as much as digits as its factorization.

213301414201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213301414201 its reverse (102414103312), we get a palindrome (315715517513).

The spelling of 213301414201 in words is "two hundred thirteen billion, three hundred one million, four hundred fourteen thousand, two hundred one".