Search a number
-
+
211112011212 = 223161918615839
BaseRepresentation
bin1100010010011101000…
…0011010010111001100
3202011220202111100020020
43010213100122113030
511424324133324322
6240552235022140
721152360326104
oct3044720322714
9664822440206
10211112011212
1181594254743
1234ab8b9a950
1316ba550443b
14a309bcc204
155758c8c05c
hex312741a5cc

211112011212 has 48 divisors (see below), whose sum is σ = 493248268800. Its totient is φ = 70277376960.

The previous prime is 211112011153. The next prime is 211112011307. The reversal of 211112011212 is 212110211112.

It is a happy number.

It is a super-2 number, since 2×2111120112122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211112011191 and 211112011200.

It is an unprimeable number.

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, 36152589 + ... + 36158427.

It is an arithmetic number, because the mean of its divisors is an integer number (10276005600).

Almost surely, 2211112011212 is an apocalyptic number.

It is an amenable number.

211112011212 is an abundant number, since it is smaller than the sum of its proper divisors (282136257588).

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

211112011212 is a wasteful number, since it uses less digits than its factorization.

211112011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9326 (or 9324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211112011212 its reverse (212110211112), we get a palindrome (423222222324).

The spelling of 211112011212 in words is "two hundred eleven billion, one hundred twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 1619 1861 3238 3722 4857 5583 5839 6476 7444 9714 11166 11678 17517 19428 22332 23356 35034 70068 3012959 6025918 9038877 9453341 10866379 12051836 18077754 18906682 21732758 28360023 32599137 36155508 37813364 43465516 56720046 65198274 113440092 130396548 17592667601 35185335202 52778002803 70370670404 105556005606 211112011212