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12100100000 = 2555121001
BaseRepresentation
bin10110100010011100…
…01101111110100000
31011020021110202201212
423101032031332200
5144240111200000
65320403045252
7605565103322
oct132116157640
934207422655
1012100100000
11514a21124a
122418370828
1311aab119b1
1482b037612
154ac444c35
hex2d138dfa0

12100100000 has 72 divisors (see below), whose sum is σ = 29775930156. Its totient is φ = 4840000000.

The previous prime is 12100099987. The next prime is 12100100021. The reversal of 12100100000 is 100121.

It is a happy number.

12100100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1244960656 + 10855139344 = 35284^2 + 104188^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 39500 + ... + 160500.

Almost surely, 212100100000 is an apocalyptic number.

12100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887965078).

12100100000 is an abundant number, since it is smaller than the sum of its proper divisors (17675830156).

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

12100100000 is an frugal number, since it uses more digits than its factorization.

12100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121036 (or 121008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 12100100000 its reverse (100121), we get a palindrome (12100200121).

The spelling of 12100100000 in words is "twelve billion, one hundred million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 121001 242002 484004 605005 968008 1210010 1936016 2420020 3025025 3872032 4840040 6050050 9680080 12100100 15125125 19360160 24200200 30250250 48400400 60500500 75625625 96800800 121001000 151251250 242002000 302502500 378128125 484004000 605005000 756256250 1210010000 1512512500 2420020000 3025025000 6050050000 12100100000