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211131133041 = 3312270227237
BaseRepresentation
bin1100010010100001100…
…1010110110001110001
3202011222002110211110010
43010220121112301301
511424344032224131
6240554200525133
721153012006633
oct3045031266161
9664862424403
10211131133041
11815a4025204
1234b034807a9
1316ba946ac2a
14a30c568a53
15575a7b7b46
hex3128656c71

211131133041 has 8 divisors (see below), whose sum is σ = 290589086464. Its totient is φ = 136213634160.

The previous prime is 211131133027. The next prime is 211131133067. The reversal of 211131133041 is 140331131112.

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

It is not a de Polignac number, because 211131133041 - 237 = 73692179569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211131132999 and 211131133017.

It is not an unprimeable number, because it can be changed into a prime (211131133001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1135113526 + ... + 1135113711.

It is an arithmetic number, because the mean of its divisors is an integer number (36323635808).

Almost surely, 2211131133041 is an apocalyptic number.

It is an amenable number.

211131133041 is a deficient number, since it is larger than the sum of its proper divisors (79457953423).

211131133041 is a wasteful number, since it uses less digits than its factorization.

211131133041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270227271.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 211131133041 its reverse (140331131112), we get a palindrome (351462264153).

The spelling of 211131133041 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred thirty-three thousand, forty-one".

Divisors: 1 3 31 93 2270227237 6810681711 70377044347 211131133041