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211211020013 = 741735926899
BaseRepresentation
bin1100010010110100101…
…0000110011011101101
3202012011122210111202212
43010231022012123231
511430030010120023
6241010133100205
721155002022360
oct3045512063355
9665148714685
10211211020013
11816351294a4
1234b26187665
1316bbcb8ba26
14a3190020d7
1557627e7e78
hex312d2866ed

211211020013 has 8 divisors (see below), whose sum is σ = 247271438400. Its totient is φ = 176622455520.

The previous prime is 211211020003. The next prime is 211211020019. The reversal of 211211020013 is 310020112112.

211211020013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 211211020013 - 220 = 211209971437 is a prime.

It is a super-2 number, since 2×2112110200132 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211211020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211020019) 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 7 ways as a sum of consecutive naturals, for example, 367963163 + ... + 367963736.

It is an arithmetic number, because the mean of its divisors is an integer number (30908929800).

Almost surely, 2211211020013 is an apocalyptic number.

It is an amenable number.

211211020013 is a deficient number, since it is larger than the sum of its proper divisors (36060418387).

211211020013 is an equidigital number, since it uses as much as digits as its factorization.

211211020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735926947.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211211020013 its reverse (310020112112), we get a palindrome (521231132125).

The spelling of 211211020013 in words is "two hundred eleven billion, two hundred eleven million, twenty thousand, thirteen".

Divisors: 1 7 41 287 735926899 5151488293 30173002859 211211020013