Search a number
-
+
220122111221 = 419437568913
BaseRepresentation
bin1100110100000001001…
…1001101110011110101
3210001011200120211211222
43031000103031303311
512101302230024341
6245042300440125
721621555034205
oct3150023156365
9701150524758
10220122111221
1185398214191
12367b2549045
13179b00ac96c
14a9226b2405
155ad4cb144b
hex33404cdcf5

220122111221 has 8 divisors (see below), whose sum is σ = 225515233944. Its totient is φ = 214730145280.

The previous prime is 220122111173. The next prime is 220122111227. The reversal of 220122111221 is 122111221022.

220122111221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 34899470596 + 185222640625 = 186814^2 + 430375^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 220122111221 - 214 = 220122094837 is a prime.

It is a super-2 number, since 2×2201221112212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220122111221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220122111227) 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 in 7 ways as a sum of consecutive naturals, for example, 102461 + ... + 671373.

It is an arithmetic number, because the mean of its divisors is an integer number (28189404243).

Almost surely, 2220122111221 is an apocalyptic number.

It is an amenable number.

220122111221 is a deficient number, since it is larger than the sum of its proper divisors (5393122723).

220122111221 is an equidigital number, since it uses as much as digits as its factorization.

220122111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578391.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 220122111221 its reverse (122111221022), we get a palindrome (342233332243).

The spelling of 220122111221 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 41 9437 386917 568913 23325433 5368831981 220122111221