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225741174101 is a prime number
BaseRepresentation
bin1101001000111100111…
…0001111010101010101
3210120200021211211000222
43102033032033111111
512144304220032401
6251412024444125
722211035214552
oct3221716172525
9716607754028
10225741174101
118781100a303
1237900319645
131839727cb41
14acd6a7da29
155d1324dc1b
hex348f38f555

225741174101 has 2 divisors, whose sum is σ = 225741174102. Its totient is φ = 225741174100.

The previous prime is 225741174097. The next prime is 225741174107. The reversal of 225741174101 is 101471147522.

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., 223379116900 + 2362057201 = 472630^2 + 48601^2 .

It is a cyclic number.

It is not a de Polignac number, because 225741174101 - 22 = 225741174097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225741174107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112870587050 + 112870587051.

It is an arithmetic number, because the mean of its divisors is an integer number (112870587051).

Almost surely, 2225741174101 is an apocalyptic number.

It is an amenable number.

225741174101 is a deficient number, since it is larger than the sum of its proper divisors (1).

225741174101 is an equidigital number, since it uses as much as digits as its factorization.

225741174101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The spelling of 225741174101 in words is "two hundred twenty-five billion, seven hundred forty-one million, one hundred seventy-four thousand, one hundred one".