Search a number
-
+
12220222103033 = 72249392287817
BaseRepresentation
bin1011000111010011110111…
…1111110101110111111001
31121021020112021211001121212
42301310331333311313321
53100204003324244113
641553520442012505
72400611332006100
oct261647577656771
947236467731555
1012220222103033
11399162688434a
12145443b7a7135
136a849240c3a9
1430366767d037
15162d218840a8
hexb1d3dff5df9

12220222103033 has 6 divisors (see below), whose sum is σ = 14215360405626. Its totient is φ = 10474476088272.

The previous prime is 12220222102987. The next prime is 12220222103053. The reversal of 12220222103033 is 33030122202221.

It can be written as a sum of positive squares in only one way, i.e., 12100470116329 + 119751986704 = 3478573^2 + 346052^2 .

It is not a de Polignac number, because 12220222103033 - 214 = 12220222086649 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12220222103053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 124696143860 + ... + 124696143957.

It is an arithmetic number, because the mean of its divisors is an integer number (2369226734271).

Almost surely, 212220222103033 is an apocalyptic number.

It is an amenable number.

12220222103033 is a deficient number, since it is larger than the sum of its proper divisors (1995138302593).

12220222103033 is an equidigital number, since it uses as much as digits as its factorization.

12220222103033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249392287831 (or 249392287824 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 12220222103033 its reverse (33030122202221), we get a palindrome (45250344305254).

The spelling of 12220222103033 in words is "twelve trillion, two hundred twenty billion, two hundred twenty-two million, one hundred three thousand, thirty-three".

Divisors: 1 7 49 249392287817 1745746014719 12220222103033