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211324430241 = 32112572085857
BaseRepresentation
bin1100010011001111101…
…0101110011110100001
3202012110120012100100200
43010303322232132201
511430243023231431
6241025303535413
721160550006421
oct3046372563641
9665416170320
10211324430241
118169314a261
1234b5815a569
1316c0a519382
14a32a0c4481
15576c74aee6
hex3133eae7a1

211324430241 has 12 divisors (see below), whose sum is σ = 305273661732. Its totient is φ = 140870370816.

The previous prime is 211324430237. The next prime is 211324430249. The reversal of 211324430241 is 142034423112.

211324430241 is a `hidden beast` number, since 2 + 113 + 244 + 302 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184131101025 + 27193329216 = 429105^2 + 164904^2 .

It is not a de Polignac number, because 211324430241 - 22 = 211324430237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211324430249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 941616 + ... + 1144241.

It is an arithmetic number, because the mean of its divisors is an integer number (25439471811).

Almost surely, 2211324430241 is an apocalyptic number.

It is an amenable number.

211324430241 is a deficient number, since it is larger than the sum of its proper divisors (93949231491).

211324430241 is a wasteful number, since it uses less digits than its factorization.

211324430241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097120 (or 2097117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 211324430241 its reverse (142034423112), we get a palindrome (353358853353).

It can be divided in two parts, 2113244 and 30241, that added together give a triangular number (2143485 = T2070).

The spelling of 211324430241 in words is "two hundred eleven billion, three hundred twenty-four million, four hundred thirty thousand, two hundred forty-one".

Divisors: 1 3 9 11257 33771 101313 2085857 6257571 18772713 23480492249 70441476747 211324430241