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211006212 = 223311035507
BaseRepresentation
bin11001001001110…
…11001100000100
3112201001020002220
430210323030010
5413004144322
632534332340
75141344314
oct1444731404
9481036086
10211006212
11a91200aa
125a7ba0b0
133493bb61
1420049444
15137d055c
hexc93b304

211006212 has 48 divisors (see below), whose sum is σ = 513257472. Its totient is φ = 67393440.

The previous prime is 211006183. The next prime is 211006219. The reversal of 211006212 is 212600112.

It is a junction number, because it is equal to n+sod(n) for n = 211006191 and 211006200.

It is not an unprimeable number, because it can be changed into a prime (211006219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35563 + ... + 41069.

It is an arithmetic number, because the mean of its divisors is an integer number (10692864).

Almost surely, 2211006212 is an apocalyptic number.

It is an amenable number.

211006212 is an abundant number, since it is smaller than the sum of its proper divisors (302251260).

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

211006212 is a wasteful number, since it uses less digits than its factorization.

211006212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5648 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 211006212 is about 14526.0528706184. The cubic root of 211006212 is about 595.3400236198.

Adding to 211006212 its reverse (212600112), we get a palindrome (423606324).

The spelling of 211006212 in words is "two hundred eleven million, six thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 103 124 186 206 309 372 412 618 1236 3193 5507 6386 9579 11014 12772 16521 19158 22028 33042 38316 66084 170717 341434 512151 567221 682868 1024302 1134442 1701663 2048604 2268884 3403326 6806652 17583851 35167702 52751553 70335404 105503106 211006212