Search a number
-
+
211100212220220 = 223251172778956779
BaseRepresentation
bin101111111111111010011001…
…001010010101000100111100
31000200102222112202020222112200
4233333322121022111010330
5210132131213312021340
62024550033152431500
762315326023361401
oct5777723112250474
91020388482228480
10211100212220220
1161299108477574
121b814775b48590
1390a3884167c5b
143a1b43a4a02a8
151961303403330
hexbffe9929513c

211100212220220 has 36 divisors (see below), whose sum is σ = 640337310401880. Its totient is φ = 56293389925344.

The previous prime is 211100212220197. The next prime is 211100212220221. The reversal of 211100212220220 is 22022212001112.

It is a happy number.

211100212220220 is a `hidden beast` number, since 2 + 1 + 1 + 10 + 0 + 212 + 220 + 220 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 211100212220193 and 211100212220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211100212220221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586389478210 + ... + 586389478569.

Almost surely, 2211100212220220 is an apocalyptic number.

211100212220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100212220220 is an abundant number, since it is smaller than the sum of its proper divisors (429237098181660).

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

211100212220220 is a wasteful number, since it uses less digits than its factorization.

211100212220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172778956794 (or 1172778956789 counting only the distinct ones).

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

Adding to 211100212220220 its reverse (22022212001112), we get a palindrome (233122424221332).

The spelling of 211100212220220 in words is "two hundred eleven trillion, one hundred billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1172778956779 2345557913558 3518336870337 4691115827116 5863894783895 7036673740674 10555010611011 11727789567790 14073347481348 17591684351685 21110021222022 23455579135580 35183368703370 42220042444044 52775053055055 70366737406740 105550106110110 211100212220220