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211311010021 = 17104911849437
BaseRepresentation
bin1100010011001100011…
…1100010000011100101
3202012102121221112021111
43010303013202003211
511430231104310041
6241024104145021
721160324643416
oct3046307420345
9665377845244
10211311010021
1181686613471
1234b53768171
1316c077cab07
14a3283cd80d
15576b499981
hex31331e20e5

211311010021 has 8 divisors (see below), whose sum is σ = 223954378200. Its totient is φ = 198691342848.

The previous prime is 211311010019. The next prime is 211311010069. The reversal of 211311010021 is 120010113112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85488988225 + 125822021796 = 292385^2 + 354714^2 .

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 211311010021 - 21 = 211311010019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211311009983 and 211311010010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311010121) 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, 5906886 + ... + 5942551.

It is an arithmetic number, because the mean of its divisors is an integer number (27994297275).

Almost surely, 2211311010021 is an apocalyptic number.

It is an amenable number.

211311010021 is a deficient number, since it is larger than the sum of its proper divisors (12643368179).

211311010021 is a wasteful number, since it uses less digits than its factorization.

211311010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11850503.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 211311010021 its reverse (120010113112), we get a palindrome (331321123133).

The spelling of 211311010021 in words is "two hundred eleven billion, three hundred eleven million, ten thousand, twenty-one".

Divisors: 1 17 1049 17833 11849437 201440429 12430059413 211311010021