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111144023000 = 23535917310889
BaseRepresentation
bin110011110000010110…
…0110011001111011000
3101121212211002100220022
41213200230303033120
53310110332214000
6123020414050012
711013152415323
oct1474054631730
9347784070808
10111144023000
11431549a356a
1219659aa9908
13a6335225aa
1455451017ba
152d57777585
hex19e0b333d8

111144023000 has 128 divisors (see below), whose sum is σ = 266038344000. Its totient is φ = 43447475200.

The previous prime is 111144022991. The next prime is 111144023033. The reversal of 111144023000 is 320441111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111144023000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10201556 + ... + 10212444.

Almost surely, 2111144023000 is an apocalyptic number.

111144023000 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 111144023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133019172000).

111144023000 is an abundant number, since it is smaller than the sum of its proper divisors (154894321000).

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

111144023000 is a wasteful number, since it uses less digits than its factorization.

111144023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 111144023000 its reverse (320441111), we get a palindrome (111464464111).

The spelling of 111144023000 in words is "one hundred eleven billion, one hundred forty-four million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 173 200 236 250 295 346 472 500 590 692 865 1000 1180 1384 1475 1730 2360 2950 3460 4325 5900 6920 7375 8650 10207 10889 11800 14750 17300 20414 21625 21778 29500 34600 40828 43250 43556 51035 54445 59000 81656 86500 87112 102070 108890 173000 204140 217780 255175 272225 408280 435560 510350 544450 642451 1020700 1088900 1275875 1284902 1361125 1883797 2041400 2177800 2551750 2569804 2722250 3212255 3767594 5103500 5139608 5444500 6424510 7535188 9418985 10207000 10889000 12849020 15070376 16061275 18837970 25698040 32122550 37675940 47094925 64245100 75351880 80306375 94189850 111144023 128490200 160612750 188379700 222288046 235474625 321225500 376759400 444576092 470949250 555720115 642451000 889152184 941898500 1111440230 1883797000 2222880460 2778600575 4445760920 5557201150 11114402300 13893002875 22228804600 27786005750 55572011500 111144023000