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112141132241320 = 235713136332259811
BaseRepresentation
bin11001011111110111100100…
…010110100001100110101000
3112201001120212022121022221001
4121133313210112201212220
5104144310014323210240
61034300531442324344
732422633540342210
oct3137674426414650
9481046768538831
10112141132241320
1132805872700846
12106b18523596b4
134a75b2bb566a0
141d99934551240
15ce70aca1589a
hex65fde45a19a8

112141132241320 has 128 divisors (see below), whose sum is σ = 310567590224640. Its totient is φ = 35488200867840.

The previous prime is 112141132241297. The next prime is 112141132241323. The reversal of 112141132241320 is 23142231141211.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (112141132241323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48494215 + ... + 50754025.

It is an arithmetic number, because the mean of its divisors is an integer number (2426309298630).

Almost surely, 2112141132241320 is an apocalyptic number.

112141132241320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112141132241320 is an abundant number, since it is smaller than the sum of its proper divisors (198426457983320).

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

112141132241320 is a wasteful number, since it uses less digits than its factorization.

112141132241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2273475 (or 2273471 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 112141132241320 its reverse (23142231141211), we get a palindrome (135283363382531).

The spelling of 112141132241320 in words is "one hundred twelve trillion, one hundred forty-one billion, one hundred thirty-two million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 13633 27266 54532 68165 95431 109064 136330 177229 190862 272660 354458 381724 477155 545320 708916 763448 886145 954310 1240603 1417832 1772290 1908620 2259811 2481206 3544580 3817240 4519622 4962412 6203015 7089160 9039244 9924824 11299055 12406030 15818677 18078488 22598110 24812060 29377543 31637354 45196220 49624120 58755086 63274708 79093385 90392440 117510172 126549416 146887715 158186770 205642801 235020344 293775430 316373540 411285602 587550860 632747080 822571204 1028214005 1175101720 1645142408 2056428010 4112856020 8225712040 30808003363 61616006726 123232013452 154040016815 215656023541 246464026904 308080033630 400504043719 431312047082 616160067260 801008087438 862624094164 1078280117705 1232320134520 1602016174876 1725248188328 2002520218595 2156560235410 2803528306033 3204032349752 4005040437190 4313120470820 5607056612066 8010080874380 8626240941640 11214113224132 14017641530165 16020161748760 22428226448264 28035283060330 56070566120660 112141132241320