Search a number
-
+
226525121041 is a prime number
BaseRepresentation
bin1101001011110111110…
…0110000101000010001
3210122200220222110001211
43102331330300220101
512202410412333131
6252021511300121
722236334521262
oct3227574605021
9718626873054
10226525121041
118808358623a
1237a9a97a641
1318490801c7b
14ad6cc2a969
155d5bea45b1
hex34bdf30a11

226525121041 has 2 divisors, whose sum is σ = 226525121042. Its totient is φ = 226525121040.

The previous prime is 226525120981. The next prime is 226525121063. The reversal of 226525121041 is 140121525622.

226525121041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122150250000 + 104374871041 = 349500^2 + 323071^2 .

It is a cyclic number.

It is not a de Polignac number, because 226525121041 - 229 = 225988250129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 226525120994 and 226525121012.

It is not a weakly prime, because it can be changed into another prime (226525124041) 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, 113262560520 + 113262560521.

It is an arithmetic number, because the mean of its divisors is an integer number (113262560521).

Almost surely, 2226525121041 is an apocalyptic number.

It is an amenable number.

226525121041 is a deficient number, since it is larger than the sum of its proper divisors (1).

226525121041 is an equidigital number, since it uses as much as digits as its factorization.

226525121041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 226525121041 its reverse (140121525622), we get a palindrome (366646646663).

The spelling of 226525121041 in words is "two hundred twenty-six billion, five hundred twenty-five million, one hundred twenty-one thousand, forty-one".