Search a number
-
+
212000201112 = 23377317286383
BaseRepresentation
bin1100010101110000110…
…0100101100110011000
3202021012122210001201110
43011130030211212120
511433134022413422
6241220324020320
721213363656040
oct3053414454630
9667178701643
10212000201112
11819aa64a987
12351065316a0
1316cb75243ab
14a391b52720
1557abc3460c
hex315c325998

212000201112 has 64 divisors (see below), whose sum is σ = 614012359680. Its totient is φ = 59741736192.

The previous prime is 212000201111. The next prime is 212000201131. The reversal of 212000201112 is 211102000212.

212000201112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212000201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8630928 + ... + 8655455.

It is an arithmetic number, because the mean of its divisors is an integer number (9593943120).

Almost surely, 2212000201112 is an apocalyptic number.

It is an amenable number.

212000201112 is an abundant number, since it is smaller than the sum of its proper divisors (402012158568).

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

212000201112 is a wasteful number, since it uses less digits than its factorization.

212000201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17286472 (or 17286468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212000201112 its reverse (211102000212), we get a palindrome (423102201324).

Subtracting from 212000201112 its reverse (211102000212), we obtain a square (898200900 = 299702).

The spelling of 212000201112 in words is "two hundred twelve billion, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 17286383 34572766 51859149 69145532 103718298 121004681 138291064 207436596 242009362 363014043 414873192 484018724 726028086 968037448 1261905959 1452056172 2523811918 2904112344 3785717877 5047623836 7571435754 8833341713 10095247672 15142871508 17666683426 26500025139 30285743016 35333366852 53000050278 70666733704 106000100556 212000201112