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12023101323030 = 23571632099167339
BaseRepresentation
bin1010111011110101100010…
…1011101111011100010110
31120120101201121021220110010
42232331120223233130112
53033441302414314110
641323200403341050
72350432442014350
oct256753053573426
946511647256403
1012023101323030
113915a72289806
1214221a8381786
13692a097667b5
142d7cc7b240d0
1515cb36097020
hexaef58aef716

12023101323030 has 128 divisors (see below), whose sum is σ = 33195972096000. Its totient is φ = 2729960164224.

The previous prime is 12023101323019. The next prime is 12023101323047. The reversal of 12023101323030 is 3032310132021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12023101322988 and 12023101323006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71765101 + ... + 71932439.

It is an arithmetic number, because the mean of its divisors is an integer number (259343532000).

Almost surely, 212023101323030 is an apocalyptic number.

12023101323030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12023101323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597986048000).

12023101323030 is an abundant number, since it is smaller than the sum of its proper divisors (21172870772970).

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

12023101323030 is a wasteful number, since it uses less digits than its factorization.

12023101323030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169618.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 12023101323030 its reverse (3032310132021), we get a palindrome (15055411455051).

The spelling of 12023101323030 in words is "twelve trillion, twenty-three billion, one hundred one million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 163 210 326 489 815 978 1141 1630 2099 2282 2445 3423 4198 4890 5705 6297 6846 10495 11410 12594 14693 17115 20990 29386 31485 34230 44079 62970 73465 88158 146930 167339 220395 334678 342137 440790 502017 684274 836695 1004034 1026411 1171373 1673390 1710685 2052822 2342746 2394959 2510085 3421370 3514119 4789918 5020170 5132055 5856865 7028238 7184877 10264110 11713730 11974795 14369754 17570595 23949590 27276257 35141190 35924385 54552514 71848770 81828771 136381285 163657542 190933799 272762570 351244561 381867598 409143855 572801397 702489122 818287710 954668995 1053733683 1145602794 1756222805 1909337990 2107467366 2458711927 2864006985 3512445610 4917423854 5268668415 5728013970 7376135781 10537336830 12293559635 14752271562 24587119270 36880678905 57252863443 73761357810 114505726886 171758590329 286264317215 343517180658 400770044101 572528634430 801540088202 858792951645 1202310132303 1717585903290 2003850220505 2404620264606 4007700441010 6011550661515 12023101323030