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211220010211 = 71710631669763
BaseRepresentation
bin1100010010110110110…
…0011001010011100011
3202012012021201021000011
43010231230121103203
511430034310311321
6241011053505351
721155141315020
oct3045554312343
9665167637004
10211220010211
118163a209a11
1234b291a2257
1316bc19b8a82
14a31a2a2547
1557634c1ae1
hex312db194e3

211220010211 has 16 divisors (see below), whose sum is σ = 255834561024. Its totient is φ = 170235575424.

The previous prime is 211220010193. The next prime is 211220010229. The reversal of 211220010211 is 112010022112.

211220010211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211220010193) and next prime (211220010229).

It is a cyclic number.

It is not a de Polignac number, because 211220010211 - 233 = 202630075619 is a prime.

It is a super-2 number, since 2×2112200102112 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220010191 and 211220010200.

It is not an unprimeable number, because it can be changed into a prime (211220010271) 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 15 ways as a sum of consecutive naturals, for example, 708385 + ... + 961378.

It is an arithmetic number, because the mean of its divisors is an integer number (15989660064).

Almost surely, 2211220010211 is an apocalyptic number.

211220010211 is a deficient number, since it is larger than the sum of its proper divisors (44614550813).

211220010211 is a wasteful number, since it uses less digits than its factorization.

211220010211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670850.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211220010211 its reverse (112010022112), we get a palindrome (323230032323).

The spelling of 211220010211 in words is "two hundred eleven billion, two hundred twenty million, ten thousand, two hundred eleven".

Divisors: 1 7 17 119 1063 7441 18071 126497 1669763 11688341 28385971 198701797 1774958069 12424706483 30174287173 211220010211