Search a number
-
+
212112000201112 = 231164128571316177
BaseRepresentation
bin110000001110101000101100…
…011011001011000110011000
31000211000201010222211212211121
4300032220230123023012120
5210300220334022413422
62031042524020335024
762451405046330564
oct6016505433130630
91024021128755747
10212112000201112
1161649215401a30
121b958887844474
1391480ca6933cb
143a543c02d46a4
15197c7be9a98c7
hexc0ea2c6cb198

212112000201112 has 64 divisors (see below), whose sum is σ = 434694739825440. Its totient is φ = 96230365593600.

The previous prime is 212112000201047. The next prime is 212112000201119. The reversal of 212112000201112 is 211102000211212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112000201119) 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, 160499568 + ... + 161815744.

Almost surely, 2212112000201112 is an apocalyptic number.

212112000201112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212112000201112 is an abundant number, since it is smaller than the sum of its proper divisors (222582739624328).

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

212112000201112 is a wasteful number, since it uses less digits than its factorization.

212112000201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319692 (or 1319688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212112000201112 its reverse (211102000211212), we get a palindrome (423214000412324).

The spelling of 212112000201112 in words is "two hundred twelve trillion, one hundred twelve billion, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 641 1282 2564 2857 5128 5714 7051 11428 14102 22856 28204 31427 56408 62854 125708 251416 1316177 1831337 2632354 3662674 5264708 7325348 10529416 14477947 14650696 20144707 28955894 40289414 57911788 80578828 115823576 161157656 843669457 1687338914 3374677828 3760317689 6749355656 7520635378 9280364027 15041270756 18560728054 30082541512 37121456108 41363494579 74242912216 82726989158 165453978316 330907956632 2410363638649 4820727277298 9641454554596 19282909109192 26514000025139 53028000050278 106056000100556 212112000201112