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231120012024 = 233211241647047
BaseRepresentation
bin1101011100111111010…
…0111000001011111000
3211002120011002002112100
43113033310320023320
512241313210341044
6254101451543400
722461240455016
oct3271764701370
9732504062470
10231120012024
118a021248900
123896175ab60
1318a43750985
14b2871978b6
15602a588869
hex35cfd382f8

231120012024 has 144 divisors (see below), whose sum is σ = 704809974960. Its totient is φ = 68328057600.

The previous prime is 231120011999. The next prime is 231120012041. The reversal of 231120012024 is 420210021132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231120011988 and 231120012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33669 + ... + 680715.

It is an arithmetic number, because the mean of its divisors is an integer number (4894513715).

Almost surely, 2231120012024 is an apocalyptic number.

231120012024 is a gapful number since it is divisible by the number (24) 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 231120012024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352404987480).

231120012024 is an abundant number, since it is smaller than the sum of its proper divisors (473689962936).

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

231120012024 is a wasteful number, since it uses less digits than its factorization.

231120012024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647122 (or 647104 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 231120012024 its reverse (420210021132), we get a palindrome (651330033156).

The spelling of 231120012024 in words is "two hundred thirty-one billion, one hundred twenty million, twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 121 123 132 164 198 242 246 264 328 363 369 396 451 484 492 726 738 792 902 968 984 1089 1353 1452 1476 1804 2178 2706 2904 2952 3608 4059 4356 4961 5412 8118 8712 9922 10824 14883 16236 19844 29766 32472 39688 44649 59532 89298 119064 178596 357192 647047 1294094 1941141 2588188 3882282 5176376 5823423 7117517 7764564 11646846 14235034 15529128 21352551 23293692 26528927 28470068 42705102 46587384 53057854 56940136 64057653 78292687 79586781 85410204 106115708 128115306 156585374 159173562 170820408 212231416 234878061 238760343 256230612 291818197 313170748 318347124 469756122 477520686 512461224 583636394 626341496 636694248 704634183 875454591 939512244 955041372 1167272788 1409268366 1750909182 1879024488 1910082744 2334545576 2626363773 2818536732 3210000167 3501818364 5252727546 5637073464 6420000334 7003636728 9630000501 10505455092 12840000668 19260001002 21010910184 25680001336 28890001503 38520002004 57780003006 77040004008 115560006012 231120012024