Search a number
-
+
113200647821 is a prime number
BaseRepresentation
bin110100101101101001…
…0001100111010001101
3101211012010222201202222
41221123102030322031
53323313331212241
6124000442425125
711115134426132
oct1513322147215
9354163881688
10113200647821
114400a8a61a8
1219b328021a5
13a8a0634561
14569c2da589
152e280c2a4b
hex1a5b48ce8d

113200647821 has 2 divisors, whose sum is σ = 113200647822. Its totient is φ = 113200647820.

The previous prime is 113200647803. The next prime is 113200647823. The reversal of 113200647821 is 128746002311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70007338921 + 43193308900 = 264589^2 + 207830^2 .

It is a cyclic number.

It is not a de Polignac number, because 113200647821 - 214 = 113200631437 is a prime.

Together with 113200647823, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113200647823) 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, 56600323910 + 56600323911.

It is an arithmetic number, because the mean of its divisors is an integer number (56600323911).

Almost surely, 2113200647821 is an apocalyptic number.

It is an amenable number.

113200647821 is a deficient number, since it is larger than the sum of its proper divisors (1).

113200647821 is an equidigital number, since it uses as much as digits as its factorization.

113200647821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 113200647821 in words is "one hundred thirteen billion, two hundred million, six hundred forty-seven thousand, eight hundred twenty-one".