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12101100011 = 7112134767349
BaseRepresentation
bin10110100010100100…
…00010000111101011
31011020100100120111022
423101102002013223
5144240340200021
65320440323055
7605606436650
oct132122020753
934210316438
1012101100011
11514a834600
12241877348b
1311ab0a1c10
1482b217c27
154ac5911ab
hex2d14821eb

12101100011 has 96 divisors (see below), whose sum is σ = 17017190400. Its totient is φ = 8367701760.

The previous prime is 12101100001. The next prime is 12101100017. The reversal of 12101100011 is 11000110121.

It is a happy number.

It is not a de Polignac number, because 12101100011 - 210 = 12101098987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12101100017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34673465 + ... + 34673813.

It is an arithmetic number, because the mean of its divisors is an integer number (177262400).

Almost surely, 212101100011 is an apocalyptic number.

12101100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12101100011 is a deficient number, since it is larger than the sum of its proper divisors (4916090389).

12101100011 is a wasteful number, since it uses less digits than its factorization.

12101100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12101100011 its reverse (11000110121), we get a palindrome (23101210132).

The spelling of 12101100011 in words is "twelve billion, one hundred one million, one hundred thousand, eleven".

Divisors: 1 7 11 13 47 67 77 91 121 143 329 349 469 517 611 737 847 871 1001 1573 2443 3149 3619 3839 4277 4537 5159 5687 6097 6721 8107 9581 11011 16403 22043 23383 26873 31759 34639 39809 40937 42229 47047 49907 56749 67067 73931 105391 114821 163681 180433 213239 242473 257213 286559 295603 303979 349349 381029 450307 517517 548977 737737 1099001 1263031 1492673 1800491 1984763 2127853 2345629 2667203 2829343 3152149 3343769 3842839 4953377 7693007 12089011 13893341 14287013 16419403 19805401 23406383 25801919 34673639 36781459 84623077 100009091 132979121 157157143 180613433 257470213 930853847 1100100001 1728728573 12101100011