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12031290976333 is a prime number
BaseRepresentation
bin1010111100010100000011…
…0100110010100001001101
31120121011212100120101202211
42233011000310302201031
53034110040442220313
641331033200150421
72351142414636526
oct257050064624115
946534770511684
1012031290976333
113919495112522
1214238b3008411
136937133805b5
142d846367984d
1515ce65055e3d
hexaf140d3284d

12031290976333 has 2 divisors, whose sum is σ = 12031290976334. Its totient is φ = 12031290976332.

The previous prime is 12031290976297. The next prime is 12031290976339. The reversal of 12031290976333 is 33367909213021.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10831484018884 + 1199806957449 = 3291122^2 + 1095357^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12031290976333 is a prime.

It is a super-2 number, since 2×120312909763332 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12031290976339) 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 as a sum of consecutive naturals, namely, 6015645488166 + 6015645488167.

It is an arithmetic number, because the mean of its divisors is an integer number (6015645488167).

Almost surely, 212031290976333 is an apocalyptic number.

It is an amenable number.

12031290976333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031290976333 is an equidigital number, since it uses as much as digits as its factorization.

12031290976333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1102248, while the sum is 49.

The spelling of 12031290976333 in words is "twelve trillion, thirty-one billion, two hundred ninety million, nine hundred seventy-six thousand, three hundred thirty-three".