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211333340041 = 3710215594233
BaseRepresentation
bin1100010011010001110…
…0101101101110001001
3202012111011222000022021
43010310130231232021
511430302313340131
6241030222524441
721161015515465
oct3046434555611
9665434860267
10211333340041
118169818532a
1234b5b136721
1316c0c318945
14a32b3634a5
15576d40ae11
hex313472db89

211333340041 has 8 divisors (see below), whose sum is σ = 217257671624. Its totient is φ = 205420199040.

The previous prime is 211333339981. The next prime is 211333340059. The reversal of 211333340041 is 140043333112.

211333340041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 96832992400 + 114500347641 = 311180^2 + 338379^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211333340041 - 27 = 211333339913 is a prime.

It is a super-2 number, since 2×2113333400412 (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 = 211333339988 and 211333340015.

It is not an unprimeable number, because it can be changed into a prime (211333340441) 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 7 ways as a sum of consecutive naturals, for example, 2759340 + ... + 2834893.

It is an arithmetic number, because the mean of its divisors is an integer number (27157208953).

Almost surely, 2211333340041 is an apocalyptic number.

It is an amenable number.

211333340041 is a deficient number, since it is larger than the sum of its proper divisors (5924331583).

211333340041 is a wasteful number, since it uses less digits than its factorization.

211333340041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5595291.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 211333340041 its reverse (140043333112), we get a palindrome (351376673153).

The spelling of 211333340041 in words is "two hundred eleven billion, three hundred thirty-three million, three hundred forty thousand, forty-one".

Divisors: 1 37 1021 37777 5594233 206986621 5711711893 211333340041