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12010024131300 = 2232521310039102251
BaseRepresentation
bin1010111011000100110100…
…1110001101101011100100
31120112010222020020201211200
42232301031032031223210
53033233012134200200
641313155014002500
72346460410511056
oct256611516155344
946463866221750
1012010024131300
113910471581038
12141b758946430
136917043a8a20
142d74070238d6
1515c61ce98800
hexaec4d38dae4

12010024131300 has 216 divisors, whose sum is σ = 40544938499520. Its totient is φ = 2955990240000.

The previous prime is 12010024131283. The next prime is 12010024131311. The reversal of 12010024131300 is 313142001021.

12010024131300 is a `hidden beast` number, since 1 + 20 + 100 + 2 + 413 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117405175 + ... + 117507425.

Almost surely, 212010024131300 is an apocalyptic number.

12010024131300 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 12010024131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272469249760).

12010024131300 is an abundant number, since it is smaller than the sum of its proper divisors (28534914368220).

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

12010024131300 is a wasteful number, since it uses less digits than its factorization.

12010024131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112323 (or 112313 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12010024131300 its reverse (313142001021), we get a palindrome (12323166132321).

The spelling of 12010024131300 in words is "twelve trillion, ten billion, twenty-four million, one hundred thirty-one thousand, three hundred".