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12031331200233 = 319536156164693
BaseRepresentation
bin1010111100010100001100…
…1110001110110011101001
31120121011222011020222120220
42233011003032032303221
53034110131241401413
641331041154240253
72351143413556422
oct257050316166351
946534864228526
1012031331200233
113919505896314
121423904586089
1369371b7c5017
142d8468b4a649
1515ce6884e223
hexaf14338ece9

12031331200233 has 32 divisors (see below), whose sum is σ = 17205229560960. Its totient is φ = 7455126781440.

The previous prime is 12031331200171. The next prime is 12031331200243. The reversal of 12031331200233 is 33200213313021.

It is not a de Polignac number, because 12031331200233 - 28 = 12031331199977 is a prime.

It is a super-3 number, since 3×120313312002333 (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12031331200243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185943435 + ... + 186008127.

It is an arithmetic number, because the mean of its divisors is an integer number (537663423780).

Almost surely, 212031331200233 is an apocalyptic number.

It is an amenable number.

12031331200233 is a deficient number, since it is larger than the sum of its proper divisors (5173898360727).

12031331200233 is a wasteful number, since it uses less digits than its factorization.

12031331200233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126329.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12031331200233 its reverse (33200213313021), we get a palindrome (45231544513254).

The spelling of 12031331200233 in words is "twelve trillion, thirty-one billion, three hundred thirty-one million, two hundred thousand, two hundred thirty-three".

Divisors: 1 3 19 53 57 159 1007 3021 61561 64693 184683 194079 1169659 1229167 3262733 3428729 3508977 3687501 9788199 10286187 61991927 65145851 185975781 195437553 3982565773 11947697319 75668749687 211075985969 227006249061 633227957907 4010443733411 12031331200233