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12032242610340 = 22351921793103381
BaseRepresentation
bin1010111100010111100110…
…0010111111000010100100
31120121021022200020102012210
42233011321202333002210
53034114013102012330
641331311433043420
72351205121456641
oct257057142770244
946537280212183
1012032242610340
113919933301207
121423b19856570
13693835585044
142d8513bd6dc8
1515cebd8818b0
hexaf1798bf0a4

12032242610340 has 144 divisors (see below), whose sum is σ = 35755429510080. Its totient is φ = 3022741774080.

The previous prime is 12032242610299. The next prime is 12032242610393. The reversal of 12032242610340 is 4301624223021.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12032242610298 and 12032242610307.

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 47 ways as a sum of consecutive naturals, for example, 2325450 + ... + 5428830.

It is an arithmetic number, because the mean of its divisors is an integer number (248301593820).

Almost surely, 212032242610340 is an apocalyptic number.

12032242610340 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 12032242610340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877714755040).

12032242610340 is an abundant number, since it is smaller than the sum of its proper divisors (23723186899740).

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

12032242610340 is a wasteful number, since it uses less digits than its factorization.

12032242610340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103610 (or 3103589 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 12032242610340 its reverse (4301624223021), we get a palindrome (16333866833361).

The spelling of 12032242610340 in words is "twelve trillion, thirty-two billion, two hundred forty-two million, six hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 179 190 228 285 358 361 380 537 570 716 722 895 1074 1083 1140 1444 1790 1805 2148 2166 2685 3401 3580 3610 4332 5370 5415 6802 7220 10203 10740 10830 13604 17005 20406 21660 34010 40812 51015 64619 68020 102030 129238 193857 204060 258476 323095 387714 646190 775428 969285 1292380 1938570 3103381 3877140 6206762 9310143 12413524 15516905 18620286 31033810 37240572 46550715 58964239 62067620 93101430 117928478 176892717 186202860 235856956 294821195 353785434 555505199 589642390 707570868 884463585 1111010398 1120320541 1179284780 1666515597 1768927170 2222020796 2240641082 2777525995 3333031194 3360961623 3537854340 4481282164 5555051990 5601602705 6666062388 6721923246 8332577985 10554598781 11110103980 11203205410 13443846492 16665155970 16804808115 21109197562 22406410820 31663796343 33330311940 33609616230 42218395124 52772993905 63327592686 67219232460 105545987810 126655185372 158318981715 200537376839 211091975620 316637963430 401074753678 601612130517 633275926860 802149507356 1002686884195 1203224261034 2005373768390 2406448522068 3008060652585 4010747536780 6016121305170 12032242610340