Search a number
-
+
11212322212 = 2271352159123
BaseRepresentation
bin10100111000100111…
…00111010110100100
31001221101221222120001
422130103213112210
5140430323302322
65052330551044
7544565111020
oct123423472644
931841858501
1011212322212
1148340776a3
12220ab98484
131098c074b0
1478517d380
1545952e827
hex29c4e75a4

11212322212 has 48 divisors (see below), whose sum is σ = 24196378752. Its totient is φ = 4427055360.

The previous prime is 11212322189. The next prime is 11212322243. The reversal of 11212322212 is 21222321211.

11212322212 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-3 number, since 3×112123222123 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11212322212.

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, 160083 + ... + 219205.

It is an arithmetic number, because the mean of its divisors is an integer number (504091224).

Almost surely, 211212322212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212322212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098189376).

11212322212 is an abundant number, since it is smaller than the sum of its proper divisors (12984056540).

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

11212322212 is a wasteful number, since it uses less digits than its factorization.

11212322212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59668 (or 59666 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

Adding to 11212322212 its reverse (21222321211), we get a palindrome (32434643423).

The spelling of 11212322212 in words is "eleven billion, two hundred twelve million, three hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 521 1042 2084 3647 6773 7294 13546 14588 27092 47411 59123 94822 118246 189644 236492 413861 768599 827722 1537198 1655444 3074396 5380193 10760386 21520772 30803083 61606166 123212332 215621581 400440079 431243162 800880158 862486324 1601760316 2803080553 5606161106 11212322212