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12430312332 = 223611031131459
BaseRepresentation
bin10111001001110011…
…11000001110001100
31012002021211021220020
423210321320032030
5200424124443312
65413240422140
7620014624434
oct134471701614
935067737806
1012430312332
1152a96506a9
1224aaa77950
13123135a2c9
1485cc332c4
154cb42078c
hex2e4e7838c

12430312332 has 96 divisors (see below), whose sum is σ = 30049743360. Its totient is φ = 3997486080.

The previous prime is 12430312289. The next prime is 12430312351. The reversal of 12430312332 is 23321303421.

12430312332 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-3 number, since 3×124303123323 (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 8519019 + ... + 8520477.

It is an arithmetic number, because the mean of its divisors is an integer number (313018160).

Almost surely, 212430312332 is an apocalyptic number.

12430312332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12430312332 is an abundant number, since it is smaller than the sum of its proper divisors (17619431028).

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

12430312332 is a wasteful number, since it uses less digits than its factorization.

12430312332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12430312332 its reverse (23321303421), we get a palindrome (35751615753).

The spelling of 12430312332 in words is "twelve billion, four hundred thirty million, three hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 103 113 122 183 206 226 244 309 339 366 412 452 618 678 732 1236 1356 1459 2918 4377 5836 6283 6893 8754 11639 12566 13786 17508 18849 20679 23278 25132 27572 34917 37698 41358 46556 69834 75396 82716 88999 139668 150277 164867 177998 266997 300554 329734 355996 450831 494601 533994 601108 659468 709979 901662 989202 1067988 1419958 1803324 1978404 2129937 2839916 4259874 8519748 9166897 10056887 16981301 18333794 20113774 27500691 30170661 33962602 36667588 40227548 50943903 55001382 60341322 67925204 101887806 110002764 120682644 203775612 1035859361 2071718722 3107578083 4143437444 6215156166 12430312332