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211112012201220 = 223351330072936211
BaseRepresentation
bin110000000000000101011000…
…011111101011110100000100
31000200111010000010000010102000
4300000011120133223310010
5210132324400110414340
62024555304115145300
762316224315511354
oct6000053037536404
91020433003003360
10211112012201220
11612a3113232989
121b816b098a5230
1390a4a14a39930
143a1bc396d2b64
151961794313d30
hexc001587ebd04

211112012201220 has 96 divisors (see below), whose sum is σ = 707315459706240. Its totient is φ = 51966033770880.

The previous prime is 211112012201191. The next prime is 211112012201221. The reversal of 211112012201220 is 22102210211112.

211112012201220 is a `hidden beast` number, since 2 + 11 + 11 + 201 + 220 + 1 + 220 = 666.

It is a super-3 number, since 3×2111120122012203 (a number of 44 digits) contains 333 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 = 211112012201193 and 211112012201202.

It is not an unprimeable number, because it can be changed into a prime (211112012201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15036461086 + ... + 15036475125.

It is an arithmetic number, because the mean of its divisors is an integer number (7367869371940).

Almost surely, 2211112012201220 is an apocalyptic number.

211112012201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112012201220 is an abundant number, since it is smaller than the sum of its proper divisors (496203447505020).

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

211112012201220 is a wasteful number, since it uses less digits than its factorization.

211112012201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30072936242 (or 30072936234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211112012201220 its reverse (22102210211112), we get a palindrome (233214222412332).

The spelling of 211112012201220 in words is "two hundred eleven trillion, one hundred twelve billion, twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 30072936211 60145872422 90218808633 120291744844 150364681055 180437617266 270656425899 300729362110 360875234532 390948170743 451094043165 541312851798 601458724220 781896341486 811969277697 902188086330 1082625703596 1172844512229 1353282129495 1563792682972 1623938555394 1804376172660 1954740853715 2345689024458 2706564258990 3247877110788 3518533536687 3909481707430 4059846388485 4691378048916 5413128517980 5864222561145 7037067073374 7818963414860 8119692776970 10555600610061 11728445122290 14074134146748 16239385553940 17592667683435 21111201220122 23456890244580 35185335366870 42222402440244 52778003050305 70370670733740 105556006100610 211112012201220