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12111311311011 = 331140778825963
BaseRepresentation
bin1011000000111110001001…
…1010001001000010100011
31120212211102002221120201000
42300033202122021002203
53041412431143423021
641431505401443043
72360004404363103
oct260174232110243
946784362846630
1012111311311011
11394a418548320
1214373057a0483
1369b126784c63
142dc294dc9203
1516009a1deb26
hexb03e26890a3

12111311311011 has 16 divisors (see below), whose sum is σ = 19573836462720. Its totient is φ = 7340188673160.

The previous prime is 12111311310937. The next prime is 12111311311061. The reversal of 12111311311011 is 11011311311121.

It is a happy number.

12111311311011 is a `hidden beast` number, since 1 + 21 + 11 + 311 + 311 + 0 + 11 = 666.

It is not a de Polignac number, because 12111311311011 - 210 = 12111311309987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12111311311061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20389412685 + ... + 20389413278.

It is an arithmetic number, because the mean of its divisors is an integer number (1223364778920).

Almost surely, 212111311311011 is an apocalyptic number.

12111311311011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12111311311011 is a deficient number, since it is larger than the sum of its proper divisors (7462525151709).

12111311311011 is a wasteful number, since it uses less digits than its factorization.

12111311311011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40778825983 (or 40778825977 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 12111311311011 its reverse (11011311311121), we get a palindrome (23122622622132).

The spelling of 12111311311011 in words is "twelve trillion, one hundred eleven billion, three hundred eleven million, three hundred eleven thousand, eleven".

Divisors: 1 3 9 11 27 33 99 297 40778825963 122336477889 367009433667 448567085593 1101028301001 1345701256779 4037103770337 12111311311011