Search a number
-
+
112112211021021 = 3217999017334857
BaseRepresentation
bin11001011111011100101000…
…100000110100110011011101
3112200221211012202020010002200
4121133130220200310303131
5104143321302010133041
61034235345544242113
732420561050125531
oct3137345040646335
9480854182203080
10112112211021021
11327a45813a8992
12106a8120770339
134a731a0122593
141d9838d4bdbc1
15ce64689801b6
hex65f728834cdd

112112211021021 has 24 divisors (see below), whose sum is σ = 171467474236344. Its totient is φ = 70344202982400.

The previous prime is 112112211021011. The next prime is 112112211021037. The reversal of 112112211021021 is 120120112211211.

It is a happy number.

112112211021021 is a `hidden beast` number, since 1 + 1 + 211 + 221 + 1 + 0 + 210 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77497650725625 + 34614560295396 = 8803275^2 + 5883414^2 .

It is not a de Polignac number, because 112112211021021 - 25 = 112112211020989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112112211020985 and 112112211021003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112112211021011) 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, 11617425 + ... + 18952281.

It is an arithmetic number, because the mean of its divisors is an integer number (7144478093181).

Almost surely, 2112112211021021 is an apocalyptic number.

It is an amenable number.

112112211021021 is a deficient number, since it is larger than the sum of its proper divisors (59355263215323).

112112211021021 is a wasteful number, since it uses less digits than its factorization.

112112211021021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434781 (or 7434778 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112112211021021 its reverse (120120112211211), we get a palindrome (232232323232232).

The spelling of 112112211021021 in words is "one hundred twelve trillion, one hundred twelve billion, two hundred eleven million, twenty-one thousand, twenty-one".

Divisors: 1 3 9 17 51 153 99901 299703 899109 1698317 5094951 7334857 15284853 22004571 66013713 124692569 374077707 1122233121 732759549157 2198278647471 6594835942413 12456912335669 37370737007007 112112211021021