Search a number
-
+
1220110222221 = 321113019472979
BaseRepresentation
bin10001110000010100001…
…111001000001110001101
311022122022120122020200200
4101300110033020032031
5124442241204102341
62332302204244113
7154102316525352
oct21602417101615
94278276566620
101220110222221
1143049a459760
12178570540639
138b095a74b97
14430a7302629
1521b10479db6
hex11c143c838d

1220110222221 has 24 divisors (see below), whose sum is σ = 1924075913760. Its totient is φ = 738892284000.

The previous prime is 1220110222169. The next prime is 1220110222223. The reversal of 1220110222221 is 1222220110221.

It is a happy number.

1220110222221 is a `hidden beast` number, since 1 + 220 + 1 + 1 + 0 + 222 + 221 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1220110222221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220110222194 and 1220110222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220110222223) 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 in 23 ways as a sum of consecutive naturals, for example, 4607691 + ... + 4865288.

It is an arithmetic number, because the mean of its divisors is an integer number (80169829740).

Almost surely, 21220110222221 is an apocalyptic number.

1220110222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1220110222221 is a deficient number, since it is larger than the sum of its proper divisors (703965691539).

1220110222221 is a wasteful number, since it uses less digits than its factorization.

1220110222221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474297 (or 9474294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1220110222221 its reverse (1222220110221), we get a palindrome (2442330332442).

The spelling of 1220110222221 in words is "one trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 1301 3903 11709 14311 42933 128799 9472979 28418937 85256811 104202769 312608307 937824921 12324345679 36973037037 110919111111 135567802469 406703407407 1220110222221