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112213222321320 = 23345129197268069
BaseRepresentation
bin11001100000111010101101…
…010000010110110010101000
3112201022110221101210211120000
4121200322231100112302220
5104202000134403240240
61034354013115103000
732431065154041441
oct3140725520266250
9481273841724500
10112213222321320
11328333a667595a
1210703811141a60
134a7c87a2c7863
141d9d2129902c8
15ce8dcb87e430
hex660ead416ca8

112213222321320 has 160 divisors (see below), whose sum is σ = 377165434595400. Its totient is φ = 29923182715392.

The previous prime is 112213222321273. The next prime is 112213222321331. The reversal of 112213222321320 is 23123222312211.

112213222321320 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 13 + 2 + 2 + 2 + 321 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111868317475524 + 344904845796 = 10576782^2 + 587286^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418464246 + ... + 418732314.

Almost surely, 2112213222321320 is an apocalyptic number.

112213222321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112213222321320 is an abundant number, since it is smaller than the sum of its proper divisors (264952212274080).

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

112213222321320 is a wasteful number, since it uses less digits than its factorization.

112213222321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397289 (or 397276 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 112213222321320 its reverse (23123222312211), we get a palindrome (135336444633531).

The spelling of 112213222321320 in words is "one hundred twelve trillion, two hundred thirteen billion, two hundred twenty-two million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 129197 258394 268069 387591 516788 536138 645985 775182 804207 1033576 1072276 1162773 1291970 1340345 1550364 1608414 1937955 2144552 2325546 2412621 2583940 2680690 3100728 3216828 3488319 3875910 4021035 4651092 4825242 5167880 5361380 5813865 6433656 6976638 7237863 7751820 8042070 9302184 9650484 10464957 10722760 11627730 12063105 13953276 14475726 15503640 16084140 17441595 19300968 20929914 21713589 23255460 24126210 27906552 28951452 32168280 34883190 36189315 41859828 43427178 46510920 48252420 52324785 57902904 69766380 72378630 83719656 86854356 96504840 104649570 108567945 139532760 144757260 173708712 209299140 217135890 289514520 418598280 434271780 868543560 34633710593 69267421186 103901131779 138534842372 173168552965 207802263558 277069684744 311703395337 346337105930 415604527116 519505658895 623406790674 692674211860 831209054232 935110186011 1039011317790 1246813581348 1385348423720 1558516976685 1870220372022 2078022635580 2493627162696 2805330558033 3117033953370 3740440744044 4156045271160 4675550930055 5610661116066 6234067906740 7480881488088 9351101860110 11221322232132 12468135813480 14026652790165 18702203720220 22442644464264 28053305580330 37404407440440 56106611160660 112213222321320