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112012102022220 = 2232531109118399499
BaseRepresentation
bin11001011101111111011001…
…100011010011010001001100
3112200121020210222111001121100
4121131333121203103101030
5104140201241104202340
61034121352125103100
732410415210515341
oct3135773143232114
9480536728431540
10112012102022220
113276607a495434
12106908423b7a90
134a66907b6b40a
141d935b3ba87c8
15ce3a59db4830
hex65dfd98d344c

112012102022220 has 144 divisors (see below), whose sum is σ = 351051861888000. Its totient is φ = 28879852060800.

The previous prime is 112012102022143. The next prime is 112012102022257. The reversal of 112012102022220 is 22220201210211.

It is a happy number.

112012102022220 is a `hidden beast` number, since 1 + 120 + 121 + 0 + 202 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112012102022193 and 112012102022202.

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, 3111970 + ... + 15287529.

It is an arithmetic number, because the mean of its divisors is an integer number (2437860152000).

Almost surely, 2112012102022220 is an apocalyptic number.

112012102022220 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 112012102022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175525930944000).

112012102022220 is an abundant number, since it is smaller than the sum of its proper divisors (239039759865780).

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

112012102022220 is a wasteful number, since it uses less digits than its factorization.

112012102022220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18400636 (or 18400631 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112012102022220 its reverse (22220201210211), we get a palindrome (134232303232431).

The spelling of 112012102022220 in words is "one hundred twelve trillion, twelve billion, one hundred two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1091 1116 1395 1860 2182 2790 3273 4364 5455 5580 6546 9819 10910 13092 16365 19638 21820 32730 33821 39276 49095 65460 67642 98190 101463 135284 169105 196380 202926 304389 338210 405852 507315 608778 676420 1014630 1217556 1521945 2029260 3043890 6087780 18399499 36798998 55198497 73597996 91997495 110396994 165595491 183994990 220793988 275992485 331190982 367989980 551984970 570384469 662381964 827977455 1103969940 1140768938 1655954910 1711153407 2281537876 2851922345 3311909820 3422306814 5133460221 5703844690 6844613628 8555767035 10266920442 11407689380 17111534070 20073853409 20533840884 25667301105 34223068140 40147706818 51334602210 60221560227 80295413636 100369267045 102669204420 120443120454 180664680681 200738534090 240886240908 301107801135 361329361362 401477068180 602215602270 622289455679 722658722724 903323403405 1204431204540 1244578911358 1806646806810 1866868367037 2489157822716 3111447278395 3613293613620 3733736734074 5600605101111 6222894556790 7467473468148 9334341835185 11201210202222 12445789113580 18668683670370 22402420404444 28003025505555 37337367340740 56006051011110 112012102022220