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111130000000 = 275711113
BaseRepresentation
bin110011101111111011…
…1010011101010000000
3101121211211200220221221
41213133313103222000
53310043240000000
6123015153324424
711012622262045
oct1473767235200
9347754626857
10111130000000
1143147a95908
1219655266714
13a630652866
1455432d11cc
152d5640761a
hex19dfdd3a80

111130000000 has 128 divisors (see below), whose sum is σ = 276763939920. Its totient is φ = 44448000000.

The previous prime is 111129999943. The next prime is 111130000001. The reversal of 111130000000 is 31111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 110580191296 + 549808704 = 332536^2 + 23448^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (111130000001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9994444 + ... + 10005556.

Almost surely, 2111130000000 is an apocalyptic number.

111130000000 is a gapful number since it is divisible by the number (10) 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 111130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138381969960).

111130000000 is an abundant number, since it is smaller than the sum of its proper divisors (165633939920).

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

111130000000 is an frugal number, since it uses more digits than its factorization.

111130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 111130000000 its reverse (31111), we get a palindrome (111130031111).

The spelling of 111130000000 in words is "one hundred eleven billion, one hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3125 3200 4000 5000 6250 8000 10000 11113 12500 15625 16000 20000 22226 25000 31250 40000 44452 50000 55565 62500 78125 80000 88904 100000 111130 125000 156250 177808 200000 222260 250000 277825 312500 355616 400000 444520 500000 555650 625000 711232 889040 1000000 1111300 1250000 1389125 1422464 1778080 2000000 2222600 2500000 2778250 3556160 4445200 5000000 5556500 6945625 7112320 8890400 10000000 11113000 13891250 17780800 22226000 27782500 34728125 35561600 44452000 55565000 69456250 88904000 111130000 138912500 173640625 177808000 222260000 277825000 347281250 444520000 555650000 694562500 868203125 889040000 1111300000 1389125000 1736406250 2222600000 2778250000 3472812500 4445200000 5556500000 6945625000 11113000000 13891250000 22226000000 27782500000 55565000000 111130000000