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211000210020 = 223251768954317
BaseRepresentation
bin1100010010000010010…
…1111011001001100100
3202011121222010020211100
43010200211323021210
511424112023210040
6240533202440100
721146532123105
oct3044045731144
9664558106740
10211000210020
1181537132866
1234a87663030
1316b882bb2a2
14a2d90083ac
15574e055b30
hex312097b264

211000210020 has 72 divisors (see below), whose sum is σ = 677683037304. Its totient is φ = 52956914688.

The previous prime is 211000209991. The next prime is 211000210027. The reversal of 211000210020 is 20012000112.

211000210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31522582116 + 179477627904 = 177546^2 + 423648^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211000209984 and 211000210011.

It is not an unprimeable number, because it can be changed into a prime (211000210027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34474099 + ... + 34480218.

It is an arithmetic number, because the mean of its divisors is an integer number (9412264407).

Almost surely, 2211000210020 is an apocalyptic number.

211000210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000210020 is an abundant number, since it is smaller than the sum of its proper divisors (466682827284).

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

211000210020 is a wasteful number, since it uses less digits than its factorization.

211000210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68954349 (or 68954344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 211000210020 its reverse (20012000112), we get a palindrome (231012210132).

The spelling of 211000210020 in words is "two hundred eleven billion, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 68954317 137908634 206862951 275817268 344771585 413725902 620588853 689543170 827451804 1034314755 1172223389 1241177706 1379086340 2068629510 2344446778 2482355412 3102944265 3516670167 4137259020 4688893556 5861116945 6205888530 7033340334 10550010501 11722233890 12411777060 14066680668 17583350835 21100021002 23444467780 35166701670 42200042004 52750052505 70333403340 105500105010 211000210020