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212112121216182 = 231123571244713319
BaseRepresentation
bin110000001110101000110011…
…101000110011110010110110
31000211000201110102120002022020
4300032220303220303302312
5210300221111012404212
62031042544022214010
762451411046050315
oct6016506350636266
91024021412502266
10212112121216182
1161649277747390
121b958900284306
139148119784365
143a543d23d627c
15197c7ca410d8c
hexc0ea33a33cb6

212112121216182 has 64 divisors (see below), whose sum is σ = 483757121802240. Its totient is φ = 61374100154400.

The previous prime is 212112121216147. The next prime is 212112121216183. The reversal of 212112121216182 is 281612121211212.

212112121216182 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 2×2121121212161822 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212112121216183) 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, 121489882 + ... + 123223437.

It is an arithmetic number, because the mean of its divisors is an integer number (7558705028160).

Almost surely, 2212112121216182 is an apocalyptic number.

212112121216182 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212112121216182 is an abundant number, since it is smaller than the sum of its proper divisors (271645000586058).

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

212112121216182 is a wasteful number, since it uses less digits than its factorization.

212112121216182 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244713929.

The product of its digits is 3072, while the sum is 33.

Adding to 212112121216182 its reverse (281612121211212), we get a palindrome (493724242427394).

The spelling of 212112121216182 in words is "two hundred twelve trillion, one hundred twelve billion, one hundred twenty-one million, two hundred sixteen thousand, one hundred eighty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 571 759 1142 1518 1713 3426 6281 12562 13133 18843 26266 37686 39399 78798 144463 288926 433389 866778 244713319 489426638 734139957 1468279914 2691846509 5383693018 5628406337 8075539527 11256812674 16151079054 16885219011 33770438022 61912469707 123824939414 139731305149 185737409121 279462610298 371474818242 419193915447 838387830894 1537044356639 3074088713278 3213820018427 4611133069917 6427640036854 9222266139834 9641460055281 19282920110562 35352020202697 70704040405394 106056060608091 212112121216182