Search a number
-
+
203334253221221 is a prime number
BaseRepresentation
bin101110001110111001110001…
…111011110001010101100101
3222122221120020201022021210122
4232032321301323301111211
5203122412022311034341
62000242244423331325
760554262230136053
oct5616716173612545
9878846221267718
10203334253221221
1159874633037411
121a97b659bb0b45
13895c451203b05
14382d604cd51d3
1518792cd1ae94b
hexb8ee71ef1565

203334253221221 has 2 divisors, whose sum is σ = 203334253221222. Its totient is φ = 203334253221220.

The previous prime is 203334253221179. The next prime is 203334253221227. The reversal of 203334253221221 is 122122352433302.

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., 169143394404196 + 34190858817025 = 13005514^2 + 5847295^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-203334253221221 is a prime.

It is a super-2 number, since 2×2033342532212212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (203334253221227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101667126610610 + 101667126610611.

It is an arithmetic number, because the mean of its divisors is an integer number (101667126610611).

Almost surely, 2203334253221221 is an apocalyptic number.

It is an amenable number.

203334253221221 is a deficient number, since it is larger than the sum of its proper divisors (1).

203334253221221 is an equidigital number, since it uses as much as digits as its factorization.

203334253221221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 203334253221221 in words is "two hundred three trillion, three hundred thirty-four billion, two hundred fifty-three million, two hundred twenty-one thousand, two hundred twenty-one".