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221120120017 is a prime number
BaseRepresentation
bin1100110111101111001…
…0010100010011010001
3210010202020111221112201
43031323302110103101
512110323222320032
6245325311323201
721655364002636
oct3157362242321
9703666457481
10221120120017
118585a5a7a45
1236a30820501
1317b0baa0704
14a9b906218d
155b426ec8e7
hex337bc944d1

221120120017 has 2 divisors, whose sum is σ = 221120120018. Its totient is φ = 221120120016.

The previous prime is 221120119991. The next prime is 221120120021. The reversal of 221120120017 is 710021021122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 125440638976 + 95679481041 = 354176^2 + 309321^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221120120017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221120119976 and 221120120003.

It is not a weakly prime, because it can be changed into another prime (221120120047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110560060008 + 110560060009.

It is an arithmetic number, because the mean of its divisors is an integer number (110560060009).

Almost surely, 2221120120017 is an apocalyptic number.

It is an amenable number.

221120120017 is a deficient number, since it is larger than the sum of its proper divisors (1).

221120120017 is an equidigital number, since it uses as much as digits as its factorization.

221120120017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 221120120017 its reverse (710021021122), we get a palindrome (931141141139).

The spelling of 221120120017 in words is "two hundred twenty-one billion, one hundred twenty million, one hundred twenty thousand, seventeen".