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211222010011220 = 225133372410659781
BaseRepresentation
bin110000000001101011110100…
…111000000001111001010100
31000200212121221001021211122222
4300001223310320001321110
5210141130134030324340
62025122015110041512
762330200212461105
oct6001536470017124
91020777831254588
10211222010011220
116133582a11767a
121b8342a7949298
1390b21c494aa80
143a232b24a63ac
1519645811278b5
hexc01af4e01e54

211222010011220 has 48 divisors (see below), whose sum is σ = 479104167713808. Its totient is φ = 77758241863680.

The previous prime is 211222010011183. The next prime is 211222010011231. The reversal of 211222010011220 is 22110010222112.

It can be written as a sum of positive squares in 8 ways, for example, as 35923456729924 + 175298553281296 = 5993618^2 + 13240036^2 .

It is a super-2 number, since 2×2112220100112202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205242271 + ... + 1205417510.

It is an arithmetic number, because the mean of its divisors is an integer number (9981336827371).

Almost surely, 2211222010011220 is an apocalyptic number.

211222010011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222010011220 is an abundant number, since it is smaller than the sum of its proper divisors (267882157702588).

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

211222010011220 is a wasteful number, since it uses less digits than its factorization.

211222010011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410660140 (or 2410660138 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211222010011220 its reverse (22110010222112), we get a palindrome (233332020233332).

The spelling of 211222010011220 in words is "two hundred eleven trillion, two hundred twenty-two billion, ten million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 337 674 1348 1685 3370 4381 6740 8762 17524 21905 43810 87620 2410659781 4821319562 9642639124 12053298905 24106597810 31338577153 48213195620 62677154306 125354308612 156692885765 313385771530 626771543060 812392346197 1624784692394 3249569384788 4061961730985 8123923461970 10561100500561 16247846923940 21122201001122 42244402002244 52805502502805 105611005005610 211222010011220