Search a number
-
+
211000001212 = 2271113311978629
BaseRepresentation
bin1100010010000010010…
…1001000001010111100
3202011121221201122101201
43010200211020022330
511424112000014322
6240533154145244
721146530263250
oct3044045101274
9664557648351
10211000001212
1181536aaa9a0
1234a87582224
1316b88247230
14a2d8d92260
15574e013d27
hex31209482bc

211000001212 has 192 divisors, whose sum is σ = 514426429440. Its totient is φ = 73055001600.

The previous prime is 211000001207. The next prime is 211000001273. The reversal of 211000001212 is 212100000112.

It is a super-2 number, since 2×2110000012122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24448114 + ... + 24456742.

It is an arithmetic number, because the mean of its divisors is an integer number (2679304320).

Almost surely, 2211000001212 is an apocalyptic number.

211000001212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257213214720).

211000001212 is an abundant number, since it is smaller than the sum of its proper divisors (303426428228).

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

211000001212 is a wasteful number, since it uses less digits than its factorization.

211000001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8892 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211000001212 its reverse (212100000112), we get a palindrome (423100001324).

The spelling of 211000001212 in words is "two hundred eleven billion, one thousand, two hundred twelve".