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211221032314 = 26189186110453
BaseRepresentation
bin1100010010110111000…
…0010010110101111010
3202012012100122012001211
43010231300102311322
511430040041013224
6241011131433334
721155153102635
oct3045560226572
9665170565054
10211221032314
118163a847926
1234b295b584a
1316bc1c86076
14a31a48ac1c
155763624894
hex312dc12d7a

211221032314 has 32 divisors (see below), whose sum is σ = 325849925520. Its totient is φ = 102647001600.

The previous prime is 211221032221. The next prime is 211221032339. The reversal of 211221032314 is 413230122112.

211221032314 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 14524347289 + 196696685025 = 120517^2 + 443505^2 .

It is a super-2 number, since 2×2112210323142 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20201512 + ... + 20211964.

Almost surely, 2211221032314 is an apocalyptic number.

211221032314 is a deficient number, since it is larger than the sum of its proper divisors (114628893206).

211221032314 is a wasteful number, since it uses less digits than its factorization.

211221032314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211221032314 its reverse (413230122112), we get a palindrome (624451154426).

The spelling of 211221032314 in words is "two hundred eleven billion, two hundred twenty-one million, thirty-two thousand, three hundred fourteen".

Divisors: 1 2 61 89 122 178 1861 3722 5429 10453 10858 20906 113521 165629 227042 331258 637633 930317 1275266 1860634 10103369 19453033 20206738 38906066 56749337 113498674 1186635013 1731319937 2373270026 3462639874 105610516157 211221032314