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12233133000331 = 171734447935353
BaseRepresentation
bin1011001000000011111110…
…0011000000011010001011
31121022110212001221121011021
42302000333203000122023
53100411424022002311
642003453531213311
72401546303556065
oct262007743003213
947273761847137
1012233133000331
113997051730601
121456a435a7237
136a976c1b46a9
14304130252735
1516332a085171
hexb203f8c068b

12233133000331 has 16 divisors (see below), whose sum is σ = 13030543782144. Its totient is φ = 11444398377984.

The previous prime is 12233133000293. The next prime is 12233133000349. The reversal of 12233133000331 is 13300033133221.

It is a cyclic number.

It is not a de Polignac number, because 12233133000331 - 29 = 12233132999819 is a prime.

It is a super-2 number, since 2×122331330003312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12233133000296 and 12233133000305.

It is not an unprimeable number, because it can be changed into a prime (12233133000631) 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 15 ways as a sum of consecutive naturals, for example, 12610951 + ... + 13546303.

It is an arithmetic number, because the mean of its divisors is an integer number (814408986384).

Almost surely, 212233133000331 is an apocalyptic number.

12233133000331 is a deficient number, since it is larger than the sum of its proper divisors (797410781813).

12233133000331 is a wasteful number, since it uses less digits than its factorization.

12233133000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939990.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 12233133000331 its reverse (13300033133221), we get a palindrome (25533166133552).

The spelling of 12233133000331 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 17 173 2941 4447 75599 769331 935353 13078627 15901001 161816069 2750873173 4159514791 70711751447 719596058843 12233133000331