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12323232100 = 22522322392393
BaseRepresentation
bin10110111101000010…
…11001100101100100
31011210211100001102201
423132201121211210
5200214221411400
65354453344244
7614244513244
oct133641314544
934724301381
1012323232100
115254163743
12247b038084
131215107c1a
1484c91bb24
154c1d1d06a
hex2de859964

12323232100 has 72 divisors (see below), whose sum is σ = 27928212480. Its totient is φ = 4710900480.

The previous prime is 12323232067. The next prime is 12323232101. The reversal of 12323232100 is 123232321.

12323232100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12323232101) 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, 5148504 + ... + 5150896.

It is an arithmetic number, because the mean of its divisors is an integer number (387891840).

Almost surely, 212323232100 is an apocalyptic number.

12323232100 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 12323232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13964106240).

12323232100 is an abundant number, since it is smaller than the sum of its proper divisors (15604980380).

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

12323232100 is a wasteful number, since it uses less digits than its factorization.

12323232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12323232100 its reverse (123232321), we get a palindrome (12446464421).

12323232100 divided by its reverse (123232321) gives a square (100 = 102).

The spelling of 12323232100 in words is "twelve billion, three hundred twenty-three million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2239 2300 2393 4478 4786 8956 9572 11195 11965 22390 23930 44780 47860 51497 55039 55975 59825 102994 110078 111950 119650 205988 220156 223900 239300 257485 275195 514970 550390 1029940 1100780 1287425 1375975 2574850 2751950 5149700 5357927 5503900 10715854 21431708 26789635 53579270 107158540 123232321 133948175 246464642 267896350 492929284 535792700 616161605 1232323210 2464646420 3080808025 6161616050 12323232100