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10225107133 is a prime number
BaseRepresentation
bin10011000010111011…
…01100000010111101
3222101121100021001121
421201131230002331
5131420111412013
64410343310541
7511246655653
oct114135540275
928347307047
1010225107133
11437789636a
121b9444b451
13c6c525667
146cdddcdd3
153eca2658d
hex26176c0bd

10225107133 has 2 divisors, whose sum is σ = 10225107134. Its totient is φ = 10225107132.

The previous prime is 10225107073. The next prime is 10225107149. The reversal of 10225107133 is 33170152201.

It is a happy number.

10225107133 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., 10128812164 + 96294969 = 100642^2 + 9813^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10225107133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10225107098 and 10225107107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10225107833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5112553566 + 5112553567.

It is an arithmetic number, because the mean of its divisors is an integer number (5112553567).

Almost surely, 210225107133 is an apocalyptic number.

It is an amenable number.

10225107133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10225107133 is an equidigital number, since it uses as much as digits as its factorization.

10225107133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 25.

Adding to 10225107133 its reverse (33170152201), we get a palindrome (43395259334).

The spelling of 10225107133 in words is "ten billion, two hundred twenty-five million, one hundred seven thousand, one hundred thirty-three".