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12102100011 = 3241181181199
BaseRepresentation
bin10110100010101011…
…10110010000101011
31011020102020101020100
423101111312100223
5144241114200021
65320514000443
7605621103261
oct132125662053
934212211210
1012102100011
115150357951
122418b76123
1311ab362131
1482b3d8431
154ac6dc626
hex2d157642b

12102100011 has 24 divisors (see below), whose sum is σ = 18006206400. Its totient is φ = 7827753600.

The previous prime is 12102100009. The next prime is 12102100037. The reversal of 12102100011 is 11000120121.

It is a happy number.

12102100011 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 12102100011 - 21 = 12102100009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12102099966 and 12102100002.

It is not an unprimeable number, because it can be changed into a prime (12102100081) 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 23 ways as a sum of consecutive naturals, for example, 23811 + ... + 157388.

It is an arithmetic number, because the mean of its divisors is an integer number (750258600).

Almost surely, 212102100011 is an apocalyptic number.

12102100011 is a deficient number, since it is larger than the sum of its proper divisors (5904106389).

12102100011 is a wasteful number, since it uses less digits than its factorization.

12102100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181427 (or 181424 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12102100011 its reverse (11000120121), we get a palindrome (23102220132).

The spelling of 12102100011 in words is "twelve billion, one hundred two million, one hundred thousand, eleven".

Divisors: 1 3 9 41 123 181 369 543 1629 7421 22263 66789 181199 543597 1630791 7429159 22287477 32797019 66862431 98391057 295173171 1344677779 4034033337 12102100011