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211310230231 = 17118724374297
BaseRepresentation
bin1100010011001100010…
…0100011101011010111
3202012102120110220121101
43010303010203223113
511430230404331411
6241024035330531
721160315215112
oct3046304435327
9665376426541
10211310230231
1181686130611
1234b53450a47
1316c075b6bb9
14a328269579
15576b3938c1
hex3133123ad7

211310230231 has 16 divisors (see below), whose sum is σ = 224072757216. Its totient is φ = 198584902656.

The previous prime is 211310230217. The next prime is 211310230267. The reversal of 211310230231 is 132032013112.

211310230231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211310230231 - 235 = 176950491863 is a prime.

It is a super-2 number, since 2×2113102302312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211310230199 and 211310230208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211310230531) 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 15 ways as a sum of consecutive naturals, for example, 49174075 + ... + 49178371.

It is an arithmetic number, because the mean of its divisors is an integer number (14004547326).

Almost surely, 2211310230231 is an apocalyptic number.

211310230231 is a deficient number, since it is larger than the sum of its proper divisors (12762526985).

211310230231 is a wasteful number, since it uses less digits than its factorization.

211310230231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7938.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211310230231 its reverse (132032013112), we get a palindrome (343342243343).

The spelling of 211310230231 in words is "two hundred eleven billion, three hundred ten million, two hundred thirty thousand, two hundred thirty-one".

Divisors: 1 17 1187 2437 4297 20179 41429 73049 2892719 5100539 10471789 49176223 86709163 178020413 12430013543 211310230231