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211130121033 = 32132479328961
BaseRepresentation
bin1100010010100001010…
…1011111101101001001
3202011222000120102020100
43010220111133231021
511424343302333113
6240554123120013
721153000263316
oct3045025375511
9664860512210
10211130121033
11815a34a3937
1234b03073009
1316ba91a5400
14a30c383d0d
15575a667d73
hex312855fb49

211130121033 has 36 divisors (see below), whose sum is σ = 330309466812. Its totient is φ = 129894635520.

The previous prime is 211130121023. The next prime is 211130121061. The reversal of 211130121033 is 330121031112.

211130121033 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 6 ways, for example, as 1634423184 + 209495697849 = 40428^2 + 457707^2 .

It is not a de Polignac number, because 211130121033 - 210 = 211130120009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211130120997 and 211130121015.

It is not an unprimeable number, because it can be changed into a prime (211130121023) 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 35 ways as a sum of consecutive naturals, for example, 7275673 + ... + 7304633.

It is an arithmetic number, because the mean of its divisors is an integer number (9175262967).

Almost surely, 2211130121033 is an apocalyptic number.

It is an amenable number.

211130121033 is a deficient number, since it is larger than the sum of its proper divisors (119179345779).

211130121033 is a wasteful number, since it uses less digits than its factorization.

211130121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33786 (or 33770 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211130121033 its reverse (330121031112), we get a palindrome (541251152145).

The spelling of 211130121033 in words is "two hundred eleven billion, one hundred thirty million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 3 9 13 39 117 169 507 1521 4793 14379 28961 43137 62309 86883 186927 260649 376493 560781 810017 1129479 2430051 3388437 4894409 7290153 14683227 44049681 138810073 416430219 1249290657 1804530949 5413592847 16240778541 23458902337 70376707011 211130121033