Search a number
-
+
202300212101211 = 3474326263315937
BaseRepresentation
bin101101111111110110110000…
…010001111100000001011011
3222112021201012121111210110000
4231333312300101330001123
5203003441313244214321
61554131233501424043
760416464562503140
oct5577666021740133
9875251177453400
10202300212101211
1159506046859194
121a83317786b023
1388b5a9c585213
1437d554d8683c7
15185c45d175826
hexb7fdb047c05b

202300212101211 has 80 divisors (see below), whose sum is σ = 353419711558144. Its totient is φ = 112907089645056.

The previous prime is 202300212101191. The next prime is 202300212101243. The reversal of 202300212101211 is 112101212003202.

202300212101211 is a `hidden beast` number, since 2 + 0 + 230 + 0 + 212 + 10 + 1 + 211 = 666.

It is not a de Polignac number, because 202300212101211 - 27 = 202300212101083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202300212101411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 640160235 + ... + 640476171.

Almost surely, 2202300212101211 is an apocalyptic number.

202300212101211 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202300212101211 is a deficient number, since it is larger than the sum of its proper divisors (151119499456933).

202300212101211 is a wasteful number, since it uses less digits than its factorization.

202300212101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342262 (or 342253 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202300212101211 its reverse (112101212003202), we get a palindrome (314401424104413).

The spelling of 202300212101211 in words is "two hundred two trillion, three hundred billion, two hundred twelve million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 903 1161 2709 3483 8127 24381 26263 78789 183841 236367 315937 551523 709101 947811 1129309 1654569 2127303 2211559 2843433 3387927 4963707 6634677 7905163 8530299 10163781 13585291 14891121 19904031 23715489 25590897 30491343 40755873 59712093 71146467 91474029 95097037 122267619 179136279 213439401 285291111 366802857 640318203 855873333 1100408571 2567619999 7702859997 8297453431 24892360293 58082174017 74677080879 174246522051 224031242637 356790497533 522739566153 672093727911 1070371492599 1568218698459 2497533482731 3211114477797 4704656095377 7492600448193 9633343433391 22477801344579 28900030300173 67433404033737 202300212101211