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211041410131233 = 3411613882935183
BaseRepresentation
bin101111111111000011101000…
…010010001010010100100001
31000200020100202201202100210000
4233333003220102022110201
5210130200301443144413
62024503030235530213
762311144611021543
oct5777035022122441
91020210681670700
10211041410131233
11612761831a9810
121b8052a52b9969
13909b172950466
143a1865cb55693
15195ea10e27073
hexbff0e848a521

211041410131233 has 40 divisors (see below), whose sum is σ = 349557357004416. Its totient is φ = 125807099896800.

The previous prime is 211041410131159. The next prime is 211041410131309. The reversal of 211041410131233 is 332131014140112.

211041410131233 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 4 + 1 + 410 + 13 + 1 + 233 = 666.

It is not a de Polignac number, because 211041410131233 - 28 = 211041410130977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211041410131197 and 211041410131206.

It is not an unprimeable number, because it can be changed into a prime (211041410130233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1941413241 + ... + 1941521942.

Almost surely, 2211041410131233 is an apocalyptic number.

It is an amenable number.

211041410131233 is a deficient number, since it is larger than the sum of its proper divisors (138515946873183).

211041410131233 is a wasteful number, since it uses less digits than its factorization.

211041410131233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3882935267 (or 3882935258 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 211041410131233 its reverse (332131014140112), we get a palindrome (543172424271345).

The spelling of 211041410131233 in words is "two hundred eleven trillion, forty-one billion, four hundred ten million, one hundred thirty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 11 27 33 61 81 99 183 297 549 671 891 1647 2013 4941 6039 18117 54351 3882935183 11648805549 34946416647 42712287013 104839249941 128136861039 236859046163 314517749823 384410583117 710577138489 1153231749351 2131731415467 2605449507793 3459695248053 6395194246401 7816348523379 19185582739203 23449045570137 70347136710411 211041410131233