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12440012100 = 2235241466707
BaseRepresentation
bin10111001010111101…
…11000010101000100
31012002222002002110220
423211132320111010
5200434120341400
65414224344340
7620163233565
oct134536702504
935088062426
1012440012100
11530407623a
1224b21750b0
131233375309
1486023a16c
154cc1d97a0
hex2e57b8544

12440012100 has 36 divisors (see below), whose sum is σ = 35993102544. Its totient is φ = 3317336480.

The previous prime is 12440012087. The next prime is 12440012111. The reversal of 12440012100 is 121004421.

12440012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12440012100.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 20733054 + ... + 20733653.

It is an arithmetic number, because the mean of its divisors is an integer number (999808404).

Almost surely, 212440012100 is an apocalyptic number.

12440012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12440012100 is an abundant number, since it is smaller than the sum of its proper divisors (23553090444).

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

12440012100 is a wasteful number, since it uses less digits than its factorization.

12440012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41466724 (or 41466717 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12440012100 its reverse (121004421), we get a palindrome (12561016521).

The spelling of 12440012100 in words is "twelve billion, four hundred forty million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 41466707 82933414 124400121 165866828 207333535 248800242 414667070 497600484 622000605 829334140 1036667675 1244001210 2073335350 2488002420 3110003025 4146670700 6220006050 12440012100