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12431054020 = 2257311257641
BaseRepresentation
bin10111001001111001…
…01101010011000100
31012002100012222022011
423210330231103010
5200424322212040
65413304344004
7620024134000
oct134474552304
935070188264
1012431054020
1152aa007970
1224ab175004
131231559a88
1485cd87700
154cb51a3ea
hex2e4f2d4c4

12431054020 has 192 divisors, whose sum is σ = 33392217600. Its totient is φ = 3853516800.

The previous prime is 12431053963. The next prime is 12431054023. The reversal of 12431054020 is 2045013421.

12431054020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124310540202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12431053982 and 12431054000.

It is not an unprimeable number, because it can be changed into a prime (12431054023) 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 63 ways as a sum of consecutive naturals, for example, 19392900 + ... + 19393540.

It is an arithmetic number, because the mean of its divisors is an integer number (173917800).

Almost surely, 212431054020 is an apocalyptic number.

12431054020 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 12431054020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696108800).

12431054020 is an abundant number, since it is smaller than the sum of its proper divisors (20961163580).

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

12431054020 is a wasteful number, since it uses less digits than its factorization.

12431054020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 12431054020 its reverse (2045013421), we get a palindrome (14476067441).

The spelling of 12431054020 in words is "twelve billion, four hundred thirty-one million, fifty-four thousand, twenty".