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211231120212 = 223272119745533
BaseRepresentation
bin1100010010111001011…
…0110001101101010100
3202012020001121201001200
43010232112301231110
511430100131321322
6241012131552500
721155334616500
oct3045626615524
9665201551050
10211231120212
1181645508032
1234b30a5b730
1316bc40a8938
14a31b955300
1557644688ac
hex312e5b1b54

211231120212 has 54 divisors (see below), whose sum is σ = 621120084858. Its totient is φ = 60351748128.

The previous prime is 211231120211. The next prime is 211231120223. The reversal of 211231120212 is 212021132112.

211231120212 is a `hidden beast` number, since 211 + 231 + 12 + 0 + 212 = 666.

211231120212 is digitally balanced in base 2, 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 only one way, i.e., 195333945156 + 15897175056 = 441966^2 + 126084^2 .

It is a super-2 number, since 2×2112311202122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211231120211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59871003 + ... + 59874530.

Almost surely, 2211231120212 is an apocalyptic number.

It is an amenable number.

211231120212 is an abundant number, since it is smaller than the sum of its proper divisors (409888964646).

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

211231120212 is a wasteful number, since it uses less digits than its factorization.

211231120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119745557 (or 119745545 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211231120212 its reverse (212021132112), we get a palindrome (423252252324).

The spelling of 211231120212 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 119745533 239491066 359236599 478982132 718473198 838218731 1077709797 1436946396 1676437462 2155419594 2514656193 3352874924 4310839188 5029312386 5867531117 7543968579 10058624772 11735062234 15087937158 17602593351 23470124468 30175874316 35205186702 52807780053 70410373404 105615560106 211231120212