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211232233104232 = 23617691193471817
BaseRepresentation
bin110000000001110101010110…
…001110000010001101101000
31000200220121022111211202212111
4300001311112032002031220
5210141312103133313412
62025130425342252104
762331011436361024
oct6001652616021550
91020817274752774
10211232233104232
116133a0a585777a
121b83627b587034
1390b3163919732
143a239a20dd384
15196497d8a22a7
hexc01d56382368

211232233104232 has 64 divisors (see below), whose sum is σ = 403415430541200. Its totient is φ = 103662429143040.

The previous prime is 211232233104181. The next prime is 211232233104239. The reversal of 211232233104232 is 232401332232112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 34269714073156 + 176962519031076 = 5854034^2 + 13302726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211232233104194 and 211232233104203.

It is not an unprimeable number, because it can be changed into a prime (211232233104239) 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, 447463588 + ... + 447935404.

Almost surely, 2211232233104232 is an apocalyptic number.

It is an amenable number.

211232233104232 is a deficient number, since it is larger than the sum of its proper divisors (192183197436968).

211232233104232 is a wasteful number, since it uses less digits than its factorization.

211232233104232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473846 (or 473842 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 211232233104232 its reverse (232401332232112), we get a palindrome (443633565336344).

The spelling of 211232233104232 in words is "two hundred eleven trillion, two hundred thirty-two billion, two hundred thirty-three million, one hundred four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 61 122 244 488 769 1193 1538 2386 3076 4772 6152 9544 46909 72773 93818 145546 187636 291092 375272 471817 582184 917417 943634 1834834 1887268 3669668 3774536 7339336 28780837 55962437 57561674 111924874 115123348 223849748 230246696 362827273 447699496 562877681 725654546 1125755362 1451309092 2251510724 2902618184 4503021448 22132463653 34335538541 44264927306 68671077082 88529854612 137342154164 177059709224 274684308328 432852936689 865705873378 1731411746756 3462823493512 26404029138029 52808058276058 105616116552116 211232233104232