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211211110212 = 223431932120849
BaseRepresentation
bin1100010010110100101…
…0011100011101000100
3202012011122222002111120
43010231022130131010
511430030021011322
6241010135033540
721155002546344
oct3045512343504
9665148862446
10211211110212
1181635190243
1234b2620b8b0
1316bbcbc0abb
14a319026d24
155762814a5c
hex312d29c744

211211110212 has 48 divisors (see below), whose sum is σ = 506900116800. Its totient is φ = 68410073088.

The previous prime is 211211110207. The next prime is 211211110217. The reversal of 211211110212 is 212011112112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211211110207) and next prime (211211110217).

It is a super-2 number, since 2×2112111102122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211110191 and 211211110200.

It is not an unprimeable number, because it can be changed into a prime (211211110217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 960837 + ... + 1160012.

It is an arithmetic number, because the mean of its divisors is an integer number (10560419100).

Almost surely, 2211211110212 is an apocalyptic number.

It is an amenable number.

211211110212 is an abundant number, since it is smaller than the sum of its proper divisors (295689006588).

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

211211110212 is a wasteful number, since it uses less digits than its factorization.

211211110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121092 (or 2121090 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211211110212 its reverse (212011112112), we get a palindrome (423222222324).

The spelling of 211211110212 in words is "two hundred eleven billion, two hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 193 258 386 516 579 772 1158 2316 8299 16598 24897 33196 49794 99588 2120849 4241698 6362547 8483396 12725094 25450188 91196507 182393014 273589521 364786028 409323857 547179042 818647714 1094358084 1227971571 1637295428 2455943142 4911886284 17600925851 35201851702 52802777553 70403703404 105605555106 211211110212