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111213445124340 = 223251389534012509
BaseRepresentation
bin11001010010010111100101…
…111001000001000011110100
3112120202220100012121222100200
4121102113211321001003310
5104034110113422434330
61032310430144040500
732265622563062046
oct3122274571010364
9476686305558320
10111213445124340
11324883a2498199
1210581ab1903130
134a094c923b530
141d66a8bd83a96
15cccdb4978a60
hex6525e5e410f4

111213445124340 has 144 divisors (see below), whose sum is σ = 367379246379600. Its totient is φ = 27068026005504.

The previous prime is 111213445124303. The next prime is 111213445124389. The reversal of 111213445124340 is 43421544312111.

111213445124340 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 134 + 4 + 512 + 4 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32532216504804 + 78681228619536 = 5703702^2 + 8870244^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111213445124295 and 111213445124304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266797995 + ... + 267214514.

It is an arithmetic number, because the mean of its divisors is an integer number (2551244766525).

Almost surely, 2111213445124340 is an apocalyptic number.

111213445124340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111213445124340 is an abundant number, since it is smaller than the sum of its proper divisors (256165801255260).

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

111213445124340 is a wasteful number, since it uses less digits than its factorization.

111213445124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534012626 (or 534012621 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 111213445124340 its reverse (43421544312111), we get a palindrome (154634989436451).

The spelling of 111213445124340 in words is "one hundred eleven trillion, two hundred thirteen billion, four hundred forty-five million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 89 90 117 130 156 178 180 195 234 260 267 356 390 445 468 534 585 780 801 890 1068 1157 1170 1335 1602 1780 2314 2340 2670 3204 3471 4005 4628 5340 5785 6942 8010 10413 11570 13884 16020 17355 20826 23140 34710 41652 52065 69420 104130 208260 534012509 1068025018 1602037527 2136050036 2670062545 3204075054 4806112581 5340125090 6408150108 6942162617 8010187635 9612225162 10680250180 13884325234 16020375270 19224450324 20826487851 24030562905 27768650468 32040750540 34710813085 41652975702 47527113301 48061125810 62479463553 69421626170 83305951404 95054226602 96122251620 104132439255 124958927106 138843252340 142581339903 190108453204 208264878510 237635566505 249917854212 285162679806 312397317765 416529757020 427744019709 475271133010 570325359612 617852472913 624794635530 712906699515 855488039418 950542266020 1235704945826 1249589271060 1425813399030 1710976078836 1853557418739 2138720098545 2471409891652 2851626798060 3089262364565 3707114837478 4277440197090 5560672256217 6178524729130 7414229674956 8554880394180 9267787093695 11121344512434 12357049458260 18535574187390 22242689024868 27803361281085 37071148374780 55606722562170 111213445124340