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217384400053 is a prime number
BaseRepresentation
bin1100101001110100011…
…1101011010010110101
3202210002220002201011001
43022131013223102311
512030200401300203
6243510502043301
721463662625042
oct3123507532265
9683086081131
10217384400053
1184212910277
1236169719531
1317664b51422
14a742c641c9
1559c477c91d
hex329d1eb4b5

217384400053 has 2 divisors, whose sum is σ = 217384400054. Its totient is φ = 217384400052.

The previous prime is 217384400011. The next prime is 217384400059. The reversal of 217384400053 is 350004483712.

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., 161223931729 + 56160468324 = 401527^2 + 236982^2 .

It is a cyclic number.

It is not a de Polignac number, because 217384400053 - 229 = 216847529141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 217384399985 and 217384400021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (217384400059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108692200026 + 108692200027.

It is an arithmetic number, because the mean of its divisors is an integer number (108692200027).

Almost surely, 2217384400053 is an apocalyptic number.

It is an amenable number.

217384400053 is a deficient number, since it is larger than the sum of its proper divisors (1).

217384400053 is an equidigital number, since it uses as much as digits as its factorization.

217384400053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 37.

Adding to 217384400053 its reverse (350004483712), we get a palindrome (567388883765).

The spelling of 217384400053 in words is "two hundred seventeen billion, three hundred eighty-four million, four hundred thousand, fifty-three".