Search a number
-
+
211200100213131 = 32479232032111407
BaseRepresentation
bin110000000001010111011010…
…111100110010000110001011
31000200210112101010010202221200
4300001113122330302012023
5210140300301123310011
62025103553035035243
762325463240325541
oct6001273274620613
91020715333122850
10211200100213131
1161327506660027
121b82bbb229bb23
1390b01126bb8c3
143a221d46c5d91
151963bec8b5856
hexc015daf3218b

211200100213131 has 24 divisors (see below), whose sum is σ = 305717014087680. Its totient is φ = 140499998890416.

The previous prime is 211200100213103. The next prime is 211200100213177. The reversal of 211200100213131 is 131312001002112.

211200100213131 is a `hidden beast` number, since 21 + 1 + 200 + 100 + 213 + 131 = 666.

It is not a de Polignac number, because 211200100213131 - 25 = 211200100213099 is a prime.

It is a super-2 number, since 2×2112001002131312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211200100211131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98972430 + ... + 101083836.

It is an arithmetic number, because the mean of its divisors is an integer number (12738208920320).

Almost surely, 2211200100213131 is an apocalyptic number.

211200100213131 is a deficient number, since it is larger than the sum of its proper divisors (94516913874549).

211200100213131 is a wasteful number, since it uses less digits than its factorization.

211200100213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135095 (or 2135092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211200100213131 its reverse (131312001002112), we get a palindrome (342512101215243).

The spelling of 211200100213131 in words is "two hundred eleven trillion, two hundred billion, one hundred million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 479 1437 4311 23203 69609 208827 2111407 6334221 11114237 19002663 33342711 100028133 1011363953 3034091859 9102275577 48990976621 146972929863 440918789589 23466677801459 70400033404377 211200100213131