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222131110001 is a prime number
BaseRepresentation
bin1100111011100000001…
…0111100000001110001
3210020100200212120002012
43032320002330001301
512114411031010001
6250013504332305
722022421165413
oct3167002740161
9706320776065
10222131110001
1186229247759
1237073314095
1317c40387c38
14aa734309b3
155ba13502bb
hex33b80bc071

222131110001 has 2 divisors, whose sum is σ = 222131110002. Its totient is φ = 222131110000.

The previous prime is 222131109997. The next prime is 222131110109. The reversal of 222131110001 is 100011131222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207863046400 + 14268063601 = 455920^2 + 119449^2 .

It is a cyclic number.

It is not a de Polignac number, because 222131110001 - 22 = 222131109997 is a prime.

It is not a weakly prime, because it can be changed into another prime (222131140001) 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, 111065555000 + 111065555001.

It is an arithmetic number, because the mean of its divisors is an integer number (111065555001).

Almost surely, 2222131110001 is an apocalyptic number.

It is an amenable number.

222131110001 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131110001 is an equidigital number, since it uses as much as digits as its factorization.

222131110001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 222131110001 its reverse (100011131222), we get a palindrome (322142241223).

The spelling of 222131110001 in words is "two hundred twenty-two billion, one hundred thirty-one million, one hundred ten thousand, one".