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12331332300 = 2235277338011
BaseRepresentation
bin10110111110000000…
…10011001011001100
31011211101120120211010
423133000103023030
5200223310113200
65355343125220
7614403411060
oct133700231314
934741516733
1012331332300
115258796521
1224818a3810
1312169b2b41
1484da29aa0
154c28bd150
hex2df0132cc

12331332300 has 144 divisors (see below), whose sum is σ = 40836330752. Its totient is φ = 2814393600.

The previous prime is 12331332283. The next prime is 12331332311. The reversal of 12331332300 is 323313321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1535295 + ... + 1543305.

Almost surely, 212331332300 is an apocalyptic number.

12331332300 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 12331332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20418165376).

12331332300 is an abundant number, since it is smaller than the sum of its proper divisors (28504998452).

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

12331332300 is a wasteful number, since it uses less digits than its factorization.

12331332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 12331332300 its reverse (323313321), we get a palindrome (12654645621).

The spelling of 12331332300 in words is "twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 733 1050 1466 2100 2199 2932 3665 4398 5131 7330 8011 8796 10262 10995 14660 15393 16022 18325 20524 21990 24033 25655 30786 32044 36650 40055 43980 48066 51310 54975 56077 61572 73300 76965 80110 96132 102620 109950 112154 120165 128275 153930 160220 168231 200275 219900 224308 240330 256550 280385 307860 336462 384825 400550 480660 513100 560770 600825 672924 769650 801100 841155 1121540 1201650 1401925 1539300 1682310 2403300 2803850 3364620 4205775 5607700 5872063 8411550 11744126 16823100 17616189 23488252 29360315 35232378 41104441 58720630 70464756 82208882 88080945 117441260 123313323 146801575 164417764 176161890 205522205 246626646 293603150 352323780 411044410 440404725 493253292 587206300 616566615 822088820 880809450 1027611025 1233133230 1761618900 2055222050 2466266460 3082833075 4110444100 6165666150 12331332300