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12003322331 = 7112137913799
BaseRepresentation
bin10110010110111010…
…00010100111011011
31010222112100221201202
423023131002213123
5144040322303311
65303024504415
7603311361560
oct131335024733
933875327652
1012003322331
1150aa620800
1223aba7b10b
131193a58ac0
1481c244867
154a3bc9e3b
hex2cb7429db

12003322331 has 48 divisors (see below), whose sum is σ = 16445184000. Its totient is φ = 8523852480.

The previous prime is 12003322321. The next prime is 12003322337. The reversal of 12003322331 is 13322330021.

It is not a de Polignac number, because 12003322331 - 214 = 12003305947 is a prime.

It is a super-2 number, since 2×120033223312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12003322337) 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 47 ways as a sum of consecutive naturals, for example, 862970 + ... + 876768.

It is an arithmetic number, because the mean of its divisors is an integer number (342608000).

Almost surely, 212003322331 is an apocalyptic number.

12003322331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12003322331 is a deficient number, since it is larger than the sum of its proper divisors (4441861669).

12003322331 is a wasteful number, since it uses less digits than its factorization.

12003322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13920 (or 13909 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12003322331 its reverse (13322330021), we get a palindrome (25325652352).

The spelling of 12003322331 in words is "twelve billion, three million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 7 11 13 77 79 91 121 143 553 847 869 1001 1027 1573 6083 7189 9559 11011 11297 13799 66913 79079 96593 124267 151789 179387 869869 1062523 1090121 1255709 1669679 1973257 7630847 11687753 11991331 13812799 14171573 21705827 83939317 99201011 131904641 151940789 155887303 923332487 1091211121 1714760333 12003322331