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220122212281 is a prime number
BaseRepresentation
bin1100110100000001001…
…1100110011110111001
3210001011200202222110221
43031000103212132321
512101302241243111
6245042302540041
721621555634636
oct3150023463671
9701150688427
10220122212281
1185398283104
12367b2597621
13179b011696a
14a9226db18d
155ad4cd1371
hex33404e67b9

220122212281 has 2 divisors, whose sum is σ = 220122212282. Its totient is φ = 220122212280.

The previous prime is 220122212273. The next prime is 220122212339. The reversal of 220122212281 is 182212221022.

220122212281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115981113600 + 104141098681 = 340560^2 + 322709^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122212281 - 23 = 220122212273 is a prime.

It is a super-2 number, since 2×2201222122812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (220126212281) 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, 110061106140 + 110061106141.

It is an arithmetic number, because the mean of its divisors is an integer number (110061106141).

Almost surely, 2220122212281 is an apocalyptic number.

It is an amenable number.

220122212281 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122212281 is an equidigital number, since it uses as much as digits as its factorization.

220122212281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 220122212281 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred eighty-one".