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211231120209 = 312716311093067
BaseRepresentation
bin1100010010111001011…
…0110001101101010001
3202012020001121201001120
43010232112301231101
511430100131321314
6241012131552453
721155334616464
oct3045626615521
9665201551046
10211231120209
118164550802a
1234b30a5b729
1316bc40a8935
14a31b9552db
1557644688a9
hex312e5b1b51

211231120209 has 32 divisors (see below), whose sum is σ = 285951344640. Its totient is φ = 138684353472.

The previous prime is 211231120151. The next prime is 211231120211. The reversal of 211231120209 is 902021132112.

211231120209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211231120209 - 213 = 211231112017 is a prime.

It is a super-2 number, since 2×2112311202092 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211231120249) 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 31 ways as a sum of consecutive naturals, for example, 68870694 + ... + 68873760.

It is an arithmetic number, because the mean of its divisors is an integer number (8935979520).

Almost surely, 2211231120209 is an apocalyptic number.

It is an amenable number.

211231120209 is a deficient number, since it is larger than the sum of its proper divisors (74720224431).

211231120209 is a wasteful number, since it uses less digits than its factorization.

211231120209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 211231120209 in words is "two hundred eleven billion, two hundred thirty-one million, one hundred twenty thousand, two hundred nine".

Divisors: 1 3 127 163 381 489 1109 3067 3327 9201 20701 62103 140843 180767 389509 422529 499921 542301 1168527 1499763 3401303 10203909 22957409 63489967 68872227 190469901 431965481 554412389 1295896443 1663237167 70410373403 211231120209