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201210110112220 = 2251119311154779389
BaseRepresentation
bin101101101111111111100001…
…001000110111000111011100
3222101102111110112022002020121
4231233333201020313013130
5202333111301142042340
61551534352024524324
760244644046462426
oct5557774110670734
9871374415262217
10201210110112220
1159125801692390
121a697a4a9206a4
1388370553084c1
14379889ab75816
15183de0b63894a
hexb6ffe12371dc

201210110112220 has 96 divisors (see below), whose sum is σ = 486774990374400. Its totient is φ = 69093518803200.

The previous prime is 201210110112203. The next prime is 201210110112229. The reversal of 201210110112220 is 22211011012102.

It is a super-2 number, since 2×2012101101122202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201210110112194 and 201210110112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201210110112229) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76089715 + ... + 78689674.

It is an arithmetic number, because the mean of its divisors is an integer number (5070572816400).

Almost surely, 2201210110112220 is an apocalyptic number.

201210110112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201210110112220 is an abundant number, since it is smaller than the sum of its proper divisors (285564880262180).

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

201210110112220 is a wasteful number, since it uses less digits than its factorization.

201210110112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154779739 (or 154779737 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201210110112220 its reverse (22211011012102), we get a palindrome (223421121124322).

The spelling of 201210110112220 in words is "two hundred one trillion, two hundred ten billion, one hundred ten million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 311 380 418 622 836 1045 1244 1555 2090 3110 3421 4180 5909 6220 6842 11818 13684 17105 23636 29545 34210 59090 64999 68420 118180 129998 259996 324995 649990 1299980 154779389 309558778 619117556 773896945 1547793890 1702573279 2940808391 3095587780 3405146558 5881616782 6810293116 8512866395 11763233564 14704041955 17025732790 29408083910 32348892301 34051465580 48136389979 58816167820 64697784602 96272779958 129395569204 161744461505 192545559916 240681949895 323488923010 481363899790 529500289769 646977846020 914591409601 962727799580 1059000579538 1829182819202 2118001159076 2647501448845 3658365638404 4572957048005 5295002897690 9145914096010 10060505505611 10590005795380 18291828192020 20121011011222 40242022022444 50302527528055 100605055056110 201210110112220