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225645141101 is a prime number
BaseRepresentation
bin1101001000100101111…
…1111001110001101101
3210120102121010211112012
43102021133321301231
512144110124003401
6251354314251005
722205461024142
oct3221137716155
9716377124465
10225645141101
1187771888296
1237894126a65
13183803c7b93
14acc80023c9
155d09ace8bb
hex34897f9c6d

225645141101 has 2 divisors, whose sum is σ = 225645141102. Its totient is φ = 225645141100.

The previous prime is 225645141067. The next prime is 225645141157. The reversal of 225645141101 is 101141546522.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218557185001 + 7087956100 = 467501^2 + 84190^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225645141101 is a prime.

It is a super-3 number, since 3×2256451411013 (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 (225645141191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112822570550 + 112822570551.

It is an arithmetic number, because the mean of its divisors is an integer number (112822570551).

Almost surely, 2225645141101 is an apocalyptic number.

It is an amenable number.

225645141101 is a deficient number, since it is larger than the sum of its proper divisors (1).

225645141101 is an equidigital number, since it uses as much as digits as its factorization.

225645141101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 225645141101 its reverse (101141546522), we get a palindrome (326786687623).

The spelling of 225645141101 in words is "two hundred twenty-five billion, six hundred forty-five million, one hundred forty-one thousand, one hundred one".