Search a number
-
+
225016324121 is a prime number
BaseRepresentation
bin1101000110010000000…
…1001010000000011001
3210111210202220121210102
43101210001022000121
512141313134332441
6251212052425145
722154054124401
oct3214401120031
9714722817712
10225016324121
1187479937836
12377396181b5
13182b004c924
14ac686b7801
155cbe7bd69b
hex346404a019

225016324121 has 2 divisors, whose sum is σ = 225016324122. Its totient is φ = 225016324120.

The previous prime is 225016323971. The next prime is 225016324147. The reversal of 225016324121 is 121423610522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200873379721 + 24142944400 = 448189^2 + 155380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225016324121 is a prime.

It is a super-2 number, since 2×2250163241212 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (225016324921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112508162060 + 112508162061.

It is an arithmetic number, because the mean of its divisors is an integer number (112508162061).

Almost surely, 2225016324121 is an apocalyptic number.

It is an amenable number.

225016324121 is a deficient number, since it is larger than the sum of its proper divisors (1).

225016324121 is an equidigital number, since it uses as much as digits as its factorization.

225016324121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 225016324121 its reverse (121423610522), we get a palindrome (346439934643).

The spelling of 225016324121 in words is "two hundred twenty-five billion, sixteen million, three hundred twenty-four thousand, one hundred twenty-one".