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111131311302 = 232111075779091
BaseRepresentation
bin110011101111111110…
…0010011110011000110
3101121211221011112201200
41213133330103303012
53310044103430202
6123015241403330
711012636363064
oct1473774236306
9347757145650
10111131311302
1143148801030
1219655799546
13a6309c168b
145543553034
152d565b5e1c
hex19dff13cc6

111131311302 has 96 divisors (see below), whose sum is σ = 265617615744. Its totient is φ = 33299942400.

The previous prime is 111131311259. The next prime is 111131311309. The reversal of 111131311302 is 203113131111.

111131311302 is a `hidden beast` number, since 11 + 11 + 31 + 311 + 302 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111131311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12219777 + ... + 12228867.

It is an arithmetic number, because the mean of its divisors is an integer number (2766850164).

Almost surely, 2111131311302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111131311302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132808807872).

111131311302 is an abundant number, since it is smaller than the sum of its proper divisors (154486304442).

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

111131311302 is a wasteful number, since it uses less digits than its factorization.

111131311302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9794 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 111131311302 its reverse (203113131111), we get a palindrome (314244442413).

The spelling of 111131311302 in words is "one hundred eleven billion, one hundred thirty-one million, three hundred eleven thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 198 214 321 577 642 963 1154 1177 1731 1926 2354 3462 3531 5193 6347 7062 9091 10386 10593 12694 18182 19041 21186 27273 38082 54546 57123 61739 81819 100001 114246 123478 163638 185217 200002 300003 370434 555651 600006 679129 900009 972737 1111302 1358258 1800018 1945474 2037387 2918211 4074774 5245507 5836422 6112161 8754633 10491014 10700107 12224322 15736521 17509266 21400214 31473042 32100321 47209563 57700577 64200642 94419126 96300963 115401154 173101731 192601926 346203462 519305193 561269249 1038610386 1122538498 1683807747 3367615494 5051423241 6173961739 10102846482 12347923478 18521885217 37043770434 55565655651 111131311302