Search a number
-
+
12027652100 = 2252120276521
BaseRepresentation
bin10110011001110011…
…10110100000000100
31011001020011000220022
423030321312200010
5144113034331400
65305254154312
7604025233052
oct131471664004
934036130808
1012027652100
115112329052
1223b8052998
131198ac6c09
148215791d2
154a5dd3b85
hex2cce76804

12027652100 has 18 divisors (see below), whose sum is σ = 26100005274. Its totient is φ = 4811060800.

The previous prime is 12027652037. The next prime is 12027652103. The reversal of 12027652100 is 125672021.

It can be written as a sum of positive squares in 3 ways, for example, as 3103826944 + 8923825156 = 55712^2 + 94466^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12027652100.

It is not an unprimeable number, because it can be changed into a prime (12027652103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60138161 + ... + 60138360.

It is an arithmetic number, because the mean of its divisors is an integer number (1450000293).

Almost surely, 212027652100 is an apocalyptic number.

12027652100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12027652100 is an abundant number, since it is smaller than the sum of its proper divisors (14072353174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12027652100 is a wasteful number, since it uses less digits than its factorization.

12027652100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120276535 (or 120276528 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 12027652100 in words is "twelve billion, twenty-seven million, six hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 120276521 240553042 481106084 601382605 1202765210 2405530420 3006913025 6013826050 12027652100