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221201211137 is a prime number
BaseRepresentation
bin1100111000000010011…
…1101001111100000001
3210010221220002210122112
43032000213221330001
512111010002224022
6245341325345105
721660400162124
oct3160047517401
9703856083575
10221201211137
11858a13539a5
1236a53a08195
1317b2282361a
14a9c5b303bb
155b498b98e2
hex33809e9f01

221201211137 has 2 divisors, whose sum is σ = 221201211138. Its totient is φ = 221201211136.

The previous prime is 221201211079. The next prime is 221201211199. The reversal of 221201211137 is 731112102122.

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., 115144170241 + 106057040896 = 339329^2 + 325664^2 .

It is a cyclic number.

It is not a de Polignac number, because 221201211137 - 228 = 220932775681 is a prime.

It is not a weakly prime, because it can be changed into another prime (221201219137) 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, 110600605568 + 110600605569.

It is an arithmetic number, because the mean of its divisors is an integer number (110600605569).

Almost surely, 2221201211137 is an apocalyptic number.

It is an amenable number.

221201211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

221201211137 is an equidigital number, since it uses as much as digits as its factorization.

221201211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 221201211137 its reverse (731112102122), we get a palindrome (952313313259).

The spelling of 221201211137 in words is "two hundred twenty-one billion, two hundred one million, two hundred eleven thousand, one hundred thirty-seven".