Search a number
-
+
112221112212 = 223211647438001
BaseRepresentation
bin110100010000011100…
…1100100011110010100
3101201122212211011112100
41220200321210132110
53314312101042322
6123315331522100
711051641500156
oct1504071443624
9351585734470
10112221112212
114365798a640
12198ba759330
13a775710ca1
145608198ad6
152dbc0d4dac
hex1a20e64794

112221112212 has 72 divisors (see below), whose sum is σ = 309937223232. Its totient is φ = 33953760000.

The previous prime is 112221112207. The next prime is 112221112217. The reversal of 112221112212 is 212211122211.

It is an interprime number because it is at equal distance from previous prime (112221112207) and next prime (112221112217).

It is a super-3 number, since 3×1122211122123 (a number of 34 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (112221112217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37212 + ... + 475212.

It is an arithmetic number, because the mean of its divisors is an integer number (4304683656).

Almost surely, 2112221112212 is an apocalyptic number.

112221112212 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 112221112212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154968611616).

112221112212 is an abundant number, since it is smaller than the sum of its proper divisors (197716111020).

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

112221112212 is a wasteful number, since it uses less digits than its factorization.

112221112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438669 (or 438664 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 112221112212 its reverse (212211122211), we get a palindrome (324432234423).

Subtracting 112221112212 from its reverse (212211122211), we obtain a palindrome (99990009999).

The spelling of 112221112212 in words is "one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 647 1294 1941 2588 3882 5823 7117 7764 11646 14234 21351 23292 28468 42702 64053 85404 128106 256212 438001 876002 1314003 1752004 2628006 3942009 4818011 5256012 7884018 9636022 14454033 15768036 19272044 28908066 43362099 57816132 86724198 173448396 283386647 566773294 850159941 1133546588 1700319882 2550479823 3117253117 3400639764 5100959646 6234506234 9351759351 10201919292 12469012468 18703518702 28055278053 37407037404 56110556106 112221112212