Search a number
-
+
111013311222 = 23211297525467
BaseRepresentation
bin110011101100011101…
…0001011001011110110
3101121112201010112001100
41213120322023023312
53304323401424342
6122555424310530
711010004401402
oct1473072131366
9347481115040
10111013311222
1143098135900
1219622172446
13a612417b48
1455319d8102
152d4b057e4c
hex19d8e8b2f6

111013311222 has 72 divisors (see below), whose sum is σ = 267109046568. Its totient is φ = 33293525760.

The previous prime is 111013311163. The next prime is 111013311223. The reversal of 111013311222 is 222113310111.

111013311222 is a `hidden beast` number, since 1 + 110 + 1 + 331 + 1 + 222 = 666.

It is a super-2 number, since 2×1110133112222 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111013311195 and 111013311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111013311223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51468 + ... + 473999.

It is an arithmetic number, because the mean of its divisors is an integer number (3709847869).

Almost surely, 2111013311222 is an apocalyptic number.

111013311222 is an abundant number, since it is smaller than the sum of its proper divisors (156095735346).

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

111013311222 is a wasteful number, since it uses less digits than its factorization.

111013311222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525594 (or 525580 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111013311222 its reverse (222113310111), we get a palindrome (333126621333).

The spelling of 111013311222 in words is "one hundred eleven billion, thirteen million, three hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 97 99 121 194 198 242 291 363 582 726 873 1067 1089 1746 2134 2178 3201 6402 9603 11737 19206 23474 35211 70422 105633 211266 525467 1050934 1576401 3152802 4729203 5780137 9458406 11560274 17340411 34680822 50970299 52021233 63581507 101940598 104042466 127163014 152910897 190744521 305821794 381489042 458732691 560673289 572233563 917465382 1121346578 1144467126 1682019867 3364039734 5046059601 6167406179 10092119202 12334812358 18502218537 37004437074 55506655611 111013311222