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12024310431 = 3737107144629
BaseRepresentation
bin10110011001011010…
…00110101010011111
31011000222212020222210
423030231012222133
5144111210413211
65305054411503
7603654644430
oct131455065237
934028766883
1012024310431
115110456441
1223b6b00b93
1311981c6bb3
14820d49487
154a59739a6
hex2ccb46a9f

12024310431 has 32 divisors (see below), whose sum is σ = 18993968640. Its totient is φ = 6622805376.

The previous prime is 12024310429. The next prime is 12024310447. The reversal of 12024310431 is 13401342021.

It is not a de Polignac number, because 12024310431 - 21 = 12024310429 is a prime.

It is a super-2 number, since 2×120243104312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12024310398 and 12024310407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12024314431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10825 + ... + 155453.

It is an arithmetic number, because the mean of its divisors is an integer number (593561520).

Almost surely, 212024310431 is an apocalyptic number.

12024310431 is a deficient number, since it is larger than the sum of its proper divisors (6969658209).

12024310431 is a wasteful number, since it uses less digits than its factorization.

12024310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144783.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12024310431 its reverse (13401342021), we get a palindrome (25425652452).

The spelling of 12024310431 in words is "twelve billion, twenty-four million, three hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 7 21 37 107 111 259 321 749 777 2247 3959 11877 27713 83139 144629 433887 1012403 3037209 5351273 15475303 16053819 37458911 46425909 108327121 112376733 324981363 572586211 1717758633 4008103477 12024310431