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112233023000 = 23537103155663
BaseRepresentation
bin110100010000110011…
…1000000011000011000
3101201200201020022001122
41220201213000120120
53314323123214000
6123320435104412
711052144645410
oct1504147003030
9351621208048
10112233023000
114366368536a
1219902742108
13a7780214a7
1456099b9640
152dbd189085
hex1a219c0618

112233023000 has 128 divisors (see below), whose sum is σ = 303059128320. Its totient is φ = 38106057600.

The previous prime is 112233022903. The next prime is 112233023017. The reversal of 112233023000 is 320332211.

It is a self number, because there is not a number n which added to its sum of digits gives 112233023000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643169 + ... + 798831.

It is an arithmetic number, because the mean of its divisors is an integer number (2367649440).

Almost surely, 2112233023000 is an apocalyptic number.

112233023000 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 112233023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151529564160).

112233023000 is an abundant number, since it is smaller than the sum of its proper divisors (190826105320).

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

112233023000 is a wasteful number, since it uses less digits than its factorization.

112233023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155794 (or 155780 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 112233023000 its reverse (320332211), we get a palindrome (112553355211).

The spelling of 112233023000 in words is "one hundred twelve billion, two hundred thirty-three million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 125 140 175 200 206 250 280 350 412 500 515 700 721 824 875 1000 1030 1400 1442 1750 2060 2575 2884 3500 3605 4120 5150 5768 7000 7210 10300 12875 14420 18025 20600 25750 28840 36050 51500 72100 90125 103000 144200 155663 180250 311326 360500 622652 721000 778315 1089641 1245304 1556630 2179282 3113260 3891575 4358564 5448205 6226520 7783150 8717128 10896410 15566300 16033289 19457875 21792820 27241025 31132600 32066578 38915750 43585640 54482050 64133156 77831500 80166445 108964100 112233023 128266312 136205125 155663000 160332890 217928200 224466046 272410250 320665780 400832225 448932092 544820500 561165115 641331560 801664450 897864184 1089641000 1122330230 1603328900 2004161125 2244660460 2805825575 3206657800 4008322250 4489320920 5611651150 8016644500 11223302300 14029127875 16033289000 22446604600 28058255750 56116511500 112233023000