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12100233000 = 233534033411
BaseRepresentation
bin10110100010011101…
…01110011100101000
31011020021201112011210
423101032232130220
5144240124424000
65320405553120
7605566166142
oct132116563450
934207645153
1012100233000
11514a2a2169
1224184157a0
1311aab5a3ab
1482b06dc92
154ac46e350
hex2d13ae728

12100233000 has 64 divisors (see below), whose sum is σ = 37752736320. Its totient is φ = 3226728000.

The previous prime is 12100232971. The next prime is 12100233037. The reversal of 12100233000 is 33200121.

It is a happy number.

12100233000 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 (12).

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 15 ways as a sum of consecutive naturals, for example, 2013706 + ... + 2019705.

It is an arithmetic number, because the mean of its divisors is an integer number (589886505).

Almost surely, 212100233000 is an apocalyptic number.

12100233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100233000 is an abundant number, since it is smaller than the sum of its proper divisors (25652503320).

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

12100233000 is a wasteful number, since it uses less digits than its factorization.

12100233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033435 (or 4033421 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 12100233000 its reverse (33200121), we get a palindrome (12133433121).

The spelling of 12100233000 in words is "twelve billion, one hundred million, two hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 4033411 8066822 12100233 16133644 20167055 24200466 32267288 40334110 48400932 60501165 80668220 96801864 100835275 121002330 161336440 201670550 242004660 302505825 403341100 484009320 504176375 605011650 806682200 1008352750 1210023300 1512529125 2016705500 2420046600 3025058250 4033411000 6050116500 12100233000