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211211221102020 = 223254672512624567
BaseRepresentation
bin110000000001100001110001…
…110011100110110111000100
31000200211121002011001110120100
4300001201301303212313010
5210140441040100231040
62025113032342204100
762326335645324246
oct6001416163466704
91020747064043510
10211211221102020
11613311a3057497
121b832196723630
1390b1195691929
143a2296b664096
15196414dd83b30
hexc01871ce6dc4

211211221102020 has 72 divisors (see below), whose sum is σ = 642045930611904. Its totient is φ = 56202386292288.

The previous prime is 211211221101971. The next prime is 211211221102087. The reversal of 211211221102020 is 20201122112112.

211211221102020 is a `hidden beast` number, since 21 + 1 + 211 + 221 + 10 + 202 + 0 = 666.

It is a super-2 number, since 2×2112112211020202 (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 = 211211221101984 and 211211221102002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1256228224 + ... + 1256396343.

It is an arithmetic number, because the mean of its divisors is an integer number (8917304591832).

Almost surely, 2211211221102020 is an apocalyptic number.

211211221102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211221102020 is an abundant number, since it is smaller than the sum of its proper divisors (430834709509884).

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

211211221102020 is a wasteful number, since it uses less digits than its factorization.

211211221102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512625049 (or 2512625044 counting only the distinct ones).

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

Adding to 211211221102020 its reverse (20201122112112), we get a palindrome (231412343214132).

The spelling of 211211221102020 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twenty-one million, one hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 467 934 1401 1868 2335 2802 4203 4670 5604 7005 8406 9340 14010 16812 21015 28020 42030 84060 2512624567 5025249134 7537873701 10050498268 12563122835 15075747402 22613621103 25126245670 30151494804 37689368505 45227242206 50252491340 75378737010 90454484412 113068105515 150757474020 226136211030 452272422060 1173395672789 2346791345578 3520187018367 4693582691156 5866978363945 7040374036734 10560561055101 11733956727890 14080748073468 17600935091835 21121122110202 23467913455780 35201870183670 42242244220404 52802805275505 70403740367340 105605610551010 211211221102020