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211211210011 = 2772410931627
BaseRepresentation
bin1100010010110100101…
…0110100110100011011
3202012011200011011101211
43010231022310310123
511430030032210021
6241010141123551
721155003443324
oct3045512646433
9665150134354
10211211210011
118163524921a
1234b262595b7
1316bbcc27359
14a31905144b
1557628343e1
hex312d2b4d1b

211211210011 has 8 divisors (see below), whose sum is σ = 211989200240. Its totient is φ = 210433331808.

The previous prime is 211211209969. The next prime is 211211210029. The reversal of 211211210011 is 110012112112.

It is a happy number.

211211210011 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 a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211211210011 is a prime.

It is a super-2 number, since 2×2112112100112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211211209973 and 211211210000.

It is not an unprimeable number, because it can be changed into a prime (211211210081) 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, 6662380 + ... + 6694006.

It is an arithmetic number, because the mean of its divisors is an integer number (26498650030).

Almost surely, 2211211210011 is an apocalyptic number.

211211210011 is a deficient number, since it is larger than the sum of its proper divisors (777990229).

211211210011 is a wasteful number, since it uses less digits than its factorization.

211211210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56013.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211211210011 its reverse (110012112112), we get a palindrome (321223322123).

The spelling of 211211210011 in words is "two hundred eleven billion, two hundred eleven million, two hundred ten thousand, eleven".

Divisors: 1 277 24109 31627 6678193 8760679 762495343 211211210011