Search a number
-
+
212133013110 = 23252357033479
BaseRepresentation
bin1100010110010000011…
…1001110011001110110
3202021112220200121112100
43011210013032121312
511433422022404420
6241241430402530
721216565601034
oct3054407163166
9667486617470
10212133013110
1181a68612567
1235142b00446
1317008bb5a85
14a3a5645554
1557b871b190
hex31641ce676

212133013110 has 24 divisors (see below), whose sum is σ = 551545834320. Its totient is φ = 56568803472.

The previous prime is 212133013033. The next prime is 212133013153. The reversal of 212133013110 is 11310331212.

212133013110 is a `hidden beast` number, since 2 + 1 + 21 + 330 + 1 + 311 + 0 = 666.

212133013110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2121330131102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178516650 + ... + 1178516829.

It is an arithmetic number, because the mean of its divisors is an integer number (22981076430).

Almost surely, 2212133013110 is an apocalyptic number.

212133013110 is an abundant number, since it is smaller than the sum of its proper divisors (339412821210).

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

212133013110 is a wasteful number, since it uses less digits than its factorization.

212133013110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357033492 (or 2357033489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212133013110 its reverse (11310331212), we get a palindrome (223443344322).

The spelling of 212133013110 in words is "two hundred twelve billion, one hundred thirty-three million, thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2357033479 4714066958 7071100437 11785167395 14142200874 21213301311 23570334790 35355502185 42426602622 70711004370 106066506555 212133013110