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12432101300 = 2252124321013
BaseRepresentation
bin10111001010000001…
…01100111110110100
31012002102012011220022
423211000230332310
5200430104220200
65413343024312
7620036055203
oct134500547664
935072164808
1012432101300
1152aa662793
1224ab59b098
131231835678
1485d17b23a
154cb675885
hex2e502cfb4

12432101300 has 18 divisors (see below), whose sum is σ = 26977660038. Its totient is φ = 4972840480.

The previous prime is 12432101293. The next prime is 12432101333. The reversal of 12432101300 is 310123421.

12432101300 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 3 ways, for example, as 401521444 + 12030579856 = 20038^2 + 109684^2 .

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 62160407 + ... + 62160606.

It is an arithmetic number, because the mean of its divisors is an integer number (1498758891).

Almost surely, 212432101300 is an apocalyptic number.

12432101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12432101300 is an abundant number, since it is smaller than the sum of its proper divisors (14545558738).

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

12432101300 is a wasteful number, since it uses less digits than its factorization.

12432101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124321027 (or 124321020 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12432101300 its reverse (310123421), we get a palindrome (12742224721).

The spelling of 12432101300 in words is "twelve billion, four hundred thirty-two million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 124321013 248642026 497284052 621605065 1243210130 2486420260 3108025325 6216050650 12432101300