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10111222011 = 3114161912073
BaseRepresentation
bin10010110101010110…
…10000000011111011
3222002200001022001010
421122223100003323
5131201433101021
64351154325003
7505364653242
oct113253200373
928080038033
1010111222011
114319580830
121b62289763
13c51a5cb07
146bcc35959
153e2a2c976
hex25aad00fb

10111222011 has 32 divisors (see below), whose sum is σ = 15091534080. Its totient is φ = 5968396800.

The previous prime is 10111222007. The next prime is 10111222021. The reversal of 10111222011 is 11022211101.

10111222011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10111222011 - 22 = 10111222007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10111222021) 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 31 ways as a sum of consecutive naturals, for example, 831471 + ... + 843543.

It is an arithmetic number, because the mean of its divisors is an integer number (471610440).

Almost surely, 210111222011 is an apocalyptic number.

10111222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10111222011 is a deficient number, since it is larger than the sum of its proper divisors (4980312069).

10111222011 is a wasteful number, since it uses less digits than its factorization.

10111222011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12747.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111222011 its reverse (11022211101), we get a palindrome (21133433112).

The spelling of 10111222011 in words is "ten billion, one hundred eleven million, two hundred twenty-two thousand, eleven".

Divisors: 1 3 11 33 41 123 451 619 1353 1857 6809 12073 20427 25379 36219 76137 132803 279169 398409 494993 837507 1484979 5444923 7473187 16334769 22419561 82205057 246615171 306400667 919202001 3370407337 10111222011