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12107755011 = 3112171962041
BaseRepresentation
bin10110100011010110…
…11010111000000011
31011020210212200102210
423101223122320003
5144244041130021
65321235113203
7606020135202
oct132153327003
934223780383
1012107755011
11515356a600
12241aa42803
1311ac5920a1
1482c06b239
154ace57e76
hex2d1adae03

12107755011 has 24 divisors (see below), whose sum is σ = 18788514192. Its totient is φ = 6906380800.

The previous prime is 12107755003. The next prime is 12107755021. The reversal of 12107755011 is 11055770121.

12107755011 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 12107755011 - 23 = 12107755003 is a prime.

It is a super-2 number, since 2×121077550112 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12107755011.

It is not an unprimeable number, because it can be changed into a prime (12107755001) 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, 974850 + ... + 987191.

It is an arithmetic number, because the mean of its divisors is an integer number (782854758).

Almost surely, 212107755011 is an apocalyptic number.

12107755011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12107755011 is a deficient number, since it is larger than the sum of its proper divisors (6680759181).

12107755011 is a wasteful number, since it uses less digits than its factorization.

12107755011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962083 (or 1962072 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 30.

The spelling of 12107755011 in words is "twelve billion, one hundred seven million, seven hundred fifty-five thousand, eleven".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 1962041 5886123 21582451 33354697 64747353 100064091 237406961 366901667 712220883 1100705001 4035918337 12107755011