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220121111137 is a prime number
BaseRepresentation
bin1100110100000000111…
…1011001101001100001
3210001011121201000222211
43031000033121221201
512101302001024022
6245042223202121
721621543400414
oct3150017315141
9701147630884
10220121111137
11853976a0874
12367b2146341
13179acb1c6b5
14a9224d1b7b
155ad4b64e77
hex33403d9a61

220121111137 has 2 divisors, whose sum is σ = 220121111138. Its totient is φ = 220121111136.

The previous prime is 220121111099. The next prime is 220121111183. The reversal of 220121111137 is 731111121022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142188572241 + 77932538896 = 377079^2 + 279164^2 .

It is a cyclic number.

It is not a de Polignac number, because 220121111137 - 219 = 220120586849 is a prime.

It is not a weakly prime, because it can be changed into another prime (220121111537) 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, 110060555568 + 110060555569.

It is an arithmetic number, because the mean of its divisors is an integer number (110060555569).

Almost surely, 2220121111137 is an apocalyptic number.

It is an amenable number.

220121111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

220121111137 is an equidigital number, since it uses as much as digits as its factorization.

220121111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 220121111137 its reverse (731111121022), we get a palindrome (951232232159).

The spelling of 220121111137 in words is "two hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, one hundred thirty-seven".