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111131112316 = 2273236435477
BaseRepresentation
bin110011101111111101…
…1100011001101111100
3101121211220210102202211
41213133323203031330
53310044031043231
6123015233230204
711012634604000
oct1473773431574
9347756712684
10111131112316
1143148685584
1219655702364
13a630951c33
145543500700
152d56576eb1
hex19dfee337c

111131112316 has 96 divisors (see below), whose sum is σ = 237070310400. Its totient is φ = 45477698112.

The previous prime is 111131112269. The next prime is 111131112317. The reversal of 111131112316 is 613211131111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111131112317) 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, 20287770 + ... + 20293246.

It is an arithmetic number, because the mean of its divisors is an integer number (2469482400).

Almost surely, 2111131112316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111131112316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118535155200).

111131112316 is an abundant number, since it is smaller than the sum of its proper divisors (125939198084).

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

111131112316 is a wasteful number, since it uses less digits than its factorization.

111131112316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 6152 counting only the distinct ones).

The product of its digits is 108, while the sum is 22.

Adding to 111131112316 its reverse (613211131111), we get a palindrome (724342243427).

The spelling of 111131112316 in words is "one hundred eleven billion, one hundred thirty-one million, one hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 343 643 644 686 1127 1286 1372 2254 2572 4501 4508 5477 7889 9002 10954 14789 15778 18004 21908 29578 31507 31556 38339 59156 63014 76678 103523 125971 126028 153356 207046 220549 251942 268373 414092 441098 503884 536746 724661 881797 882196 1073492 1449322 1763594 1878611 2898644 3521711 3527188 3757222 5072627 6172579 7043422 7514444 10145254 12345158 14086844 20290508 24651977 24690316 43208053 49303954 80999353 86416106 98607908 161998706 172563839 172832212 323997412 345127678 566995471 690255356 1133990942 1207946873 2267981884 2415893746 3968968297 4831787492 7937936594 15875873188 27782778079 55565556158 111131112316