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112011211112220 = 223257372402642881
BaseRepresentation
bin11001011101111110100100…
…011100101111111100011100
3112200121011111220002010211200
4121131332210130233330130
5104140142430021042340
61034121123501515500
732410354142066160
oct3135764434577434
9480534456063750
10112011211112220
1132765762601582
1210690633b72b90
134a667c5408334
141d9352b736ca0
15ce3a06a81330
hex65dfa472ff1c

112011211112220 has 144 divisors (see below), whose sum is σ = 398800276125888. Its totient is φ = 24910601379840.

The previous prime is 112011211112209. The next prime is 112011211112239. The reversal of 112011211112220 is 22211112110211.

It is a happy number.

112011211112220 is a `hidden beast` number, since 1 + 120 + 1 + 1 + 211 + 112 + 220 = 666.

It is a super-2 number, since 2×1120112111122202 (a number of 29 digits) contains 22 as substring.

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 = 112011211112193 and 112011211112202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1201274821 + ... + 1201368060.

Almost surely, 2112011211112220 is an apocalyptic number.

112011211112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011211112220 is an abundant number, since it is smaller than the sum of its proper divisors (286789065013668).

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

112011211112220 is a wasteful number, since it uses less digits than its factorization.

112011211112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402642940 (or 2402642935 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112011211112220 its reverse (22211112110211), we get a palindrome (134222323222431).

The spelling of 112011211112220 in words is "one hundred twelve trillion, eleven billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4662 5180 6660 7770 9324 11655 15540 23310 46620 2402642881 4805285762 7207928643 9610571524 12013214405 14415857286 16818500167 21623785929 24026428810 28831714572 33637000334 36039643215 43247571858 48052857620 50455500501 67274000668 72079286430 84092500835 86495143716 88897786597 100911001002 108118929645 144158572860 151366501503 168185001670 177795573194 201822002004 216237859290 252277502505 266693359791 302733003006 336370003340 355591146388 432475718580 444488932985 504555005010 533386719582 605466006012 622284506179 756832507515 800080079373 888977865970 1009110010020 1066773439164 1244569012358 1333466798955 1513665015030 1600160158746 1777955731940 1866853518537 2489138024716 2666933597910 3027330030060 3111422530895 3200320317492 3733707037074 4000400396865 5333867195820 5600560555611 6222845061790 7467414074148 8000800793730 9334267592685 11201121111222 12445690123580 16001601587460 18668535185370 22402242222444 28002802778055 37337070370740 56005605556110 112011211112220