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111132231132 = 223134771213481
BaseRepresentation
bin110011101111111111…
…1110100010111011100
3101121211222220021111110
41213133333310113130
53310044322344012
6123015313222020
711012650243566
oct1473777642734
9347758807443
10111132231132
114314927a11a
1219655b61910
13a630c54260
145543712336
152d566e873c
hex19dfff45dc

111132231132 has 96 divisors (see below), whose sum is σ = 289215166464. Its totient is φ = 32995468800.

The previous prime is 111132231131. The next prime is 111132231149. The reversal of 111132231132 is 231132231111.

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

It is a junction number, because it is equal to n+sod(n) for n = 111132231099 and 111132231108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111132231131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413832 + ... + 627312.

It is an arithmetic number, because the mean of its divisors is an integer number (3012657984).

Almost surely, 2111132231132 is an apocalyptic number.

111132231132 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 111132231132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144607583232).

111132231132 is an abundant number, since it is smaller than the sum of its proper divisors (178082935332).

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

111132231132 is a wasteful number, since it uses less digits than its factorization.

111132231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213619 (or 213617 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Subtracting from 111132231132 its sum of digits (21), we obtain a palindrome (111132231111).

Adding to 111132231132 its reverse (231132231111), we get a palindrome (342264462243).

The spelling of 111132231132 in words is "one hundred eleven billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 71 78 94 141 142 156 188 213 282 284 426 564 611 852 923 1222 1833 1846 2444 2769 3337 3666 3692 5538 6674 7332 10011 11076 13348 20022 40044 43381 86762 130143 173524 213481 260286 426962 520572 640443 853924 1280886 2561772 2775253 5550506 8325759 10033607 11101012 15157151 16651518 20067214 30100821 30314302 33303036 40134428 45471453 60201642 60628604 90942906 120403284 130436891 181885812 197042963 260873782 391310673 394085926 521747564 591128889 712386097 782621346 788171852 1182257778 1424772194 1565242692 2137158291 2364515556 2849544388 4274316582 8548633164 9261019261 18522038522 27783057783 37044077044 55566115566 111132231132