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12031013020249 is a prime number
BaseRepresentation
bin1010111100010011000001…
…0000011110001001011001
31120121011010222112202201001
42233010300100132021121
53034104003313121444
641330545430425001
72351132501231116
oct257046020361131
946534128482631
1012031013020249
113919362224a53
121423835b02161
1369369a900342
142d84387a390d
1515ce4a94d8d4
hexaf13041e259

12031013020249 has 2 divisors, whose sum is σ = 12031013020250. Its totient is φ = 12031013020248.

The previous prime is 12031013020207. The next prime is 12031013020303. The reversal of 12031013020249 is 94202031013021.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8524502105625 + 3506510914624 = 2919675^2 + 1872568^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031013020249 - 217 = 12031012889177 is a prime.

It is not a weakly prime, because it can be changed into another prime (12031013020049) 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, 6015506510124 + 6015506510125.

It is an arithmetic number, because the mean of its divisors is an integer number (6015506510125).

Almost surely, 212031013020249 is an apocalyptic number.

It is an amenable number.

12031013020249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031013020249 is an equidigital number, since it uses as much as digits as its factorization.

12031013020249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 12031013020249 in words is "twelve trillion, thirty-one billion, thirteen million, twenty thousand, two hundred forty-nine".