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12331043011230 = 2357189647100537
BaseRepresentation
bin1011001101110000101101…
…1100000011101010011110
31121122211120120220111100020
42303130023130003222132
53104012434002324410
642120445234413010
72411613512123646
oct263341334035236
947584516814306
1012331043011230
113a24625345989
121471a09431166
136b5a739cca98
14308b7b8b1526
15165b5aa83a70
hexb370b703a9e

12331043011230 has 128 divisors (see below), whose sum is σ = 30395742013440. Its totient is φ = 3200551495680.

The previous prime is 12331043011207. The next prime is 12331043011241. The reversal of 12331043011230 is 3211034013321.

It is a super-2 number, since 2×123310430112302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12331043011230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122601522 + ... + 122702058.

It is an arithmetic number, because the mean of its divisors is an integer number (237466734480).

Almost surely, 212331043011230 is an apocalyptic number.

12331043011230 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 12331043011230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15197871006720).

12331043011230 is an abundant number, since it is smaller than the sum of its proper divisors (18064699002210).

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

12331043011230 is a wasteful number, since it uses less digits than its factorization.

12331043011230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101354.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 12331043011230 its reverse (3211034013321), we get a palindrome (15542077024551).

The spelling of 12331043011230 in words is "twelve trillion, three hundred thirty-one billion, forty-three million, eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 89 142 178 213 267 355 426 445 534 647 710 890 1065 1294 1335 1941 2130 2670 3235 3882 6319 6470 9705 12638 18957 19410 31595 37914 45937 57583 63190 91874 94785 100537 115166 137811 172749 189570 201074 229685 275622 287915 301611 345498 459370 502685 575830 603222 689055 863745 1005370 1378110 1508055 1727490 3016110 4088393 7138127 8176786 8947793 12265179 14276254 17895586 20441965 21414381 24530358 26843379 35690635 40883930 42828762 44738965 53686758 61325895 65047439 71381270 89477930 107071905 122651790 130094878 134216895 195142317 214143810 268433790 325237195 390284634 635293303 650474390 975711585 1270586606 1905879909 1951423170 3176466515 3811759818 4618368169 5789222071 6352933030 9236736338 9529399545 11578444142 13855104507 17367666213 19058799090 23091840845 27710209014 28946110355 34735332426 46183681690 57892220710 69275522535 86838331065 138551045070 173676662130 411034767041 822069534082 1233104301123 2055173835205 2466208602246 4110347670410 6165521505615 12331043011230