Search a number
-
+
220130031221 is a prime number
BaseRepresentation
bin1100110100000011000…
…1011011011001110101
3210001012020111020001022
43031000301123121311
512101311241444341
6245043142310525
721622012251452
oct3150061333165
9701166436038
10220130031221
11853a1733641
12367b5128445
13179b1923859
14a923774829
155ad5827e4b
hex3340c5b675

220130031221 has 2 divisors, whose sum is σ = 220130031222. Its totient is φ = 220130031220.

The previous prime is 220130031059. The next prime is 220130031227. The reversal of 220130031221 is 122130031022.

220130031221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206793015025 + 13337016196 = 454745^2 + 115486^2 .

It is a cyclic number.

It is not a de Polignac number, because 220130031221 - 214 = 220130014837 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220130031221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220130031227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110065015610 + 110065015611.

It is an arithmetic number, because the mean of its divisors is an integer number (110065015611).

Almost surely, 2220130031221 is an apocalyptic number.

It is an amenable number.

220130031221 is a deficient number, since it is larger than the sum of its proper divisors (1).

220130031221 is an equidigital number, since it uses as much as digits as its factorization.

220130031221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 220130031221 its reverse (122130031022), we get a palindrome (342260062243).

The spelling of 220130031221 in words is "two hundred twenty billion, one hundred thirty million, thirty-one thousand, two hundred twenty-one".