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111130313112 = 23327131923371049
BaseRepresentation
bin110011101111111100…
…0100000000110011000
3101121211212021211110200
41213133320200012120
53310043330004422
6123015204142200
711012625034650
oct1473770400630
9347755254420
10111130313112
114314818a085
1219655397960
13a630732230
145543373360
152d5646a2ac
hex19dfe20198

111130313112 has 768 divisors, whose sum is σ = 418279680000. Its totient is φ = 25816817664.

The previous prime is 111130313101. The next prime is 111130313143. The reversal of 111130313112 is 211313031111.

111130313112 is a `hidden beast` number, since 111 + 130 + 313 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105938764 + ... + 105939812.

It is an arithmetic number, because the mean of its divisors is an integer number (544635000).

Almost surely, 2111130313112 is an apocalyptic number.

111130313112 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 111130313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209139840000).

111130313112 is an abundant number, since it is smaller than the sum of its proper divisors (307149366888).

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

111130313112 is a wasteful number, since it uses less digits than its factorization.

111130313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1153 counting only the distinct ones).

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

Adding to 111130313112 its reverse (211313031111), we get a palindrome (322443344223).

The spelling of 111130313112 in words is "one hundred eleven billion, one hundred thirty million, three hundred thirteen thousand, one hundred twelve".