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211300206 = 231329109857
BaseRepresentation
bin11001001100000…
…10111101101110
3112201121011101120
430212002331232
5413043101311
632544521410
75144010405
oct1446027556
9481534346
10211300206
11a9300a77
125a920266
1334a12910
14200c463c
151383c706
hexc982f6e

211300206 has 64 divisors (see below), whose sum is σ = 475675200. Its totient is φ = 62125056.

The previous prime is 211300163. The next prime is 211300207. The reversal of 211300206 is 602003112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211300207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246130 + ... + 246986.

It is an arithmetic number, because the mean of its divisors is an integer number (7432425).

Almost surely, 2211300206 is an apocalyptic number.

211300206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211300206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237837600).

211300206 is an abundant number, since it is smaller than the sum of its proper divisors (264374994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211300206 is a wasteful number, since it uses less digits than its factorization.

211300206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211300206 is about 14536.1688900480. The cubic root of 211300206 is about 595.6163901594.

Adding to 211300206 its reverse (602003112), we get a palindrome (813303318).

The spelling of 211300206 in words is "two hundred eleven million, three hundred thousand, two hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 109 174 218 327 377 654 754 857 1131 1417 1714 2262 2571 2834 3161 4251 5142 6322 8502 9483 11141 18966 22282 24853 33423 41093 49706 66846 74559 82186 93413 123279 149118 186826 246558 280239 323089 560478 646178 969267 1214369 1938534 2428738 2708977 3643107 5417954 7286214 8126931 16253862 35216701 70433402 105650103 211300206