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211202002202201 = 2773893672153377
BaseRepresentation
bin110000000001011001001100…
…010100010010111001011001
31000200210201021200001211110022
4300001121030110102321121
5210140313200030432301
62025104505501200225
762325561334061303
oct6001311424227131
91020721250054408
10211202002202201
11613282a224461a
121b830443260075
1390b035676a91a
143a2233514a973
151963cae867d1b
hexc0164c512e59

211202002202201 has 16 divisors (see below), whose sum is σ = 212519128632720. Its totient is φ = 209888916111360.

The previous prime is 211202002202173. The next prime is 211202002202209. The reversal of 211202002202201 is 102202200202112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 22344046848601 + 188857955353600 = 4726949^2 + 13742560^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211202002202201 is a prime.

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 211202002202201.

It is not an unprimeable number, because it can be changed into a prime (211202002202209) 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 15 ways as a sum of consecutive naturals, for example, 3956771225 + ... + 3956824601.

It is an arithmetic number, because the mean of its divisors is an integer number (13282445539545).

Almost surely, 2211202002202201 is an apocalyptic number.

It is an amenable number.

211202002202201 is a deficient number, since it is larger than the sum of its proper divisors (1317126430519).

211202002202201 is a wasteful number, since it uses less digits than its factorization.

211202002202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90764.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 211202002202201 its reverse (102202200202112), we get a palindrome (313404202404313).

The spelling of 211202002202201 in words is "two hundred eleven trillion, two hundred two billion, two million, two hundred two thousand, two hundred one".

Divisors: 1 277 389 36721 53377 107753 10171717 14284469 14785429 20763653 1960056817 3956797913 5751531881 542935738309 762462101813 211202002202201