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220131004241 is a prime number
BaseRepresentation
bin1100110100000011010…
…1001000111101010001
3210001012022022122210002
43031000311020331101
512101312014113431
6245043215215345
721622023443321
oct3150065107521
9701168278702
10220131004241
11853a2238695
12367b5517555
13179b1ba46c5
14a923949281
155ad596b3cb
hex3340d48f51

220131004241 has 2 divisors, whose sum is σ = 220131004242. Its totient is φ = 220131004240.

The previous prime is 220131004201. The next prime is 220131004273. The reversal of 220131004241 is 142400131022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201363100225 + 18767904016 = 448735^2 + 136996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220131004241 is a prime.

It is not a weakly prime, because it can be changed into another prime (220131004201) 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, 110065502120 + 110065502121.

It is an arithmetic number, because the mean of its divisors is an integer number (110065502121).

Almost surely, 2220131004241 is an apocalyptic number.

It is an amenable number.

220131004241 is a deficient number, since it is larger than the sum of its proper divisors (1).

220131004241 is an equidigital number, since it uses as much as digits as its factorization.

220131004241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 220131004241 its reverse (142400131022), we get a palindrome (362531135263).

The spelling of 220131004241 in words is "two hundred twenty billion, one hundred thirty-one million, four thousand, two hundred forty-one".