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211561700841 = 32140916683361
BaseRepresentation
bin1100010100001000001…
…1110101110111101001
3202020002002122221102200
43011002003311313221
511431234243411331
6241105021250413
721166460533431
oct3050203656751
9666062587380
10211561700841
11817a5079167
1235003703a09
1316c47722a8a
14a34d8092c1
1557834b85e6
hex31420f5de9

211561700841 has 12 divisors (see below), whose sum is σ = 305806025460. Its totient is φ = 140941025280.

The previous prime is 211561700809. The next prime is 211561700879. The reversal of 211561700841 is 148007165112.

211561700841 is a `hidden beast` number, since 2 + 11 + 561 + 7 + 0 + 0 + 84 + 1 = 666.

211561700841 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 2 ways, for example, as 11062832400 + 200498868441 = 105180^2 + 447771^2 .

It is not a de Polignac number, because 211561700841 - 25 = 211561700809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211561700796 and 211561700805.

It is not an unprimeable number, because it can be changed into a prime (211561700941) 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 11 ways as a sum of consecutive naturals, for example, 8329000 + ... + 8354361.

It is an arithmetic number, because the mean of its divisors is an integer number (25483835455).

Almost surely, 2211561700841 is an apocalyptic number.

It is an amenable number.

211561700841 is a deficient number, since it is larger than the sum of its proper divisors (94244324619).

211561700841 is a wasteful number, since it uses less digits than its factorization.

211561700841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16684776 (or 16684773 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Adding to 211561700841 its reverse (148007165112), we get a palindrome (359568865953).

The spelling of 211561700841 in words is "two hundred eleven billion, five hundred sixty-one million, seven hundred thousand, eight hundred forty-one".

Divisors: 1 3 9 1409 4227 12681 16683361 50050083 150150249 23506855649 70520566947 211561700841