Search a number
-
+
20102202200201 = 1121434111584541
BaseRepresentation
bin1001001001000011010001…
…00111110001000010001001
32122011202022000221012122212
410210201220213301002021
510113323302230401301
6110430454005554505
74143223211262062
oct444415047610211
978152260835585
1020102202200201
116450329095800
122307b36a15a35
13b2a825115404
144d6d4796d569
1524cd875c44bb
hex1248689f1089

20102202200201 has 12 divisors (see below), whose sum is σ = 22097351681412. Its totient is φ = 18273453396000.

The previous prime is 20102202200191. The next prime is 20102202200207. The reversal of 20102202200201 is 10200220220102.

It can be written as a sum of positive squares in 2 ways, for example, as 8578220899600 + 11523981300601 = 2928860^2 + 3394699^2 .

It is a de Polignac number, because none of the positive numbers 2k-20102202200201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20102202200207) 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 11 ways as a sum of consecutive naturals, for example, 4057010 + ... + 7527531.

It is an arithmetic number, because the mean of its divisors is an integer number (1841445973451).

Almost surely, 220102202200201 is an apocalyptic number.

It is an amenable number.

20102202200201 is a deficient number, since it is larger than the sum of its proper divisors (1995149481211).

20102202200201 is a wasteful number, since it uses less digits than its factorization.

20102202200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11598904 (or 11598893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20102202200201 its reverse (10200220220102), we get a palindrome (30302422420303).

The spelling of 20102202200201 in words is "twenty trillion, one hundred two billion, two hundred two million, two hundred thousand, two hundred one".

Divisors: 1 11 121 14341 157751 1735261 11584541 127429951 1401729461 166133902481 1827472927291 20102202200201