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201413120221 is a prime number
BaseRepresentation
bin1011101110010100101…
…0000101000011011101
3201020212211022122000101
42323211022011003131
511244443224321341
6232310010101101
720360130163015
oct2734512050335
9636784278011
10201413120221
1178467501355
1233050a1a791
1315cbb0127a1
149a69a4ac45
15538c55b831
hex2ee52850dd

201413120221 has 2 divisors, whose sum is σ = 201413120222. Its totient is φ = 201413120220.

The previous prime is 201413120213. The next prime is 201413120329. The reversal of 201413120221 is 122021314102.

201413120221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197629148025 + 3783972196 = 444555^2 + 61514^2 .

It is a cyclic number.

It is not a de Polignac number, because 201413120221 - 23 = 201413120213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201413120201) 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, 100706560110 + 100706560111.

It is an arithmetic number, because the mean of its divisors is an integer number (100706560111).

Almost surely, 2201413120221 is an apocalyptic number.

It is an amenable number.

201413120221 is a deficient number, since it is larger than the sum of its proper divisors (1).

201413120221 is an equidigital number, since it uses as much as digits as its factorization.

201413120221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 201413120221 its reverse (122021314102), we get a palindrome (323434434323).

The spelling of 201413120221 in words is "two hundred one billion, four hundred thirteen million, one hundred twenty thousand, two hundred twenty-one".