Search a number
-
+
11212213212 = 22331019371097
BaseRepresentation
bin10100111000100110…
…01100101111011100
31001221101202110001000
422130103030233130
5140430311310322
65052324350300
7544564145154
oct123423145734
931841673030
1011212213212
114834002812
12220ab45390
131098b999b5
14785151764
1545950c3ac
hex29c4ccbdc

11212213212 has 96 divisors (see below), whose sum is σ = 29414629440. Its totient is φ = 3693081600.

The previous prime is 11212213163. The next prime is 11212213231. The reversal of 11212213212 is 21231221211.

11212213212 is a `hidden beast` number, since 1 + 121 + 221 + 321 + 2 = 666.

It is a super-2 number, since 2×112122132122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10220248 + ... + 10221344.

It is an arithmetic number, because the mean of its divisors is an integer number (306402390).

Almost surely, 211212213212 is an apocalyptic number.

11212213212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11212213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707314720).

11212213212 is an abundant number, since it is smaller than the sum of its proper divisors (18202416228).

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

11212213212 is a wasteful number, since it uses less digits than its factorization.

11212213212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2140 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

Adding to 11212213212 its reverse (21231221211), we get a palindrome (32443434423).

The spelling of 11212213212 in words is "eleven billion, two hundred twelve million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 937 1097 1212 1818 1874 2194 2727 2811 3291 3636 3748 4388 5454 5622 6582 8433 9873 10908 11244 13164 16866 19746 25299 29619 33732 39492 50598 59238 94637 101196 110797 118476 189274 221594 283911 332391 378548 443188 567822 664782 851733 997173 1027889 1135644 1329564 1703466 1994346 2055778 2555199 2991519 3083667 3406932 3988692 4111556 5110398 5983038 6167334 9251001 10220796 11966076 12334668 18502002 27753003 37004004 55506006 103816789 111012012 207633578 311450367 415267156 622900734 934351101 1245801468 1868702202 2803053303 3737404404 5606106606 11212213212