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225353210141 is a prime number
BaseRepresentation
bin1101000111100000011…
…0010001100100011101
3210112200020211012112102
43101320012101210131
512143010410211031
6251305325214445
722165314452363
oct3217006214435
9715606735472
10225353210141
1187632015234
1237812401425
1318334a93a77
14ac9b32d633
155cde1667cb
hex347819191d

225353210141 has 2 divisors, whose sum is σ = 225353210142. Its totient is φ = 225353210140.

The previous prime is 225353210107. The next prime is 225353210161. The reversal of 225353210141 is 141012353522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 205870912900 + 19482297241 = 453730^2 + 139579^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225353210141 is a prime.

It is a super-3 number, since 3×2253532101413 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225353210101) 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, 112676605070 + 112676605071.

It is an arithmetic number, because the mean of its divisors is an integer number (112676605071).

Almost surely, 2225353210141 is an apocalyptic number.

It is an amenable number.

225353210141 is a deficient number, since it is larger than the sum of its proper divisors (1).

225353210141 is an equidigital number, since it uses as much as digits as its factorization.

225353210141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 225353210141 its reverse (141012353522), we get a palindrome (366365563663).

The spelling of 225353210141 in words is "two hundred twenty-five billion, three hundred fifty-three million, two hundred ten thousand, one hundred forty-one".