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12000311300093 is a prime number
BaseRepresentation
bin1010111010100000101001…
…0010101100111111111101
31120111012220022211210020112
42232220022102230333331
53033103114143100333
641304511130155405
72345664621014654
oct256501222547775
946435808753215
1012000311300093
113907337977206
1214198a7b82b65
13690817045c1c
142d6b6509419b
1515c250412948
hexaea0a4acffd

12000311300093 has 2 divisors, whose sum is σ = 12000311300094. Its totient is φ = 12000311300092.

The previous prime is 12000311300069. The next prime is 12000311300137. The reversal of 12000311300093 is 39000311300021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8820644581849 + 3179666718244 = 2969957^2 + 1783162^2 .

It is a cyclic number.

It is not a de Polignac number, because 12000311300093 - 228 = 12000042864637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12000311303093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000155650046 + 6000155650047.

It is an arithmetic number, because the mean of its divisors is an integer number (6000155650047).

Almost surely, 212000311300093 is an apocalyptic number.

It is an amenable number.

12000311300093 is a deficient number, since it is larger than the sum of its proper divisors (1).

12000311300093 is an equidigital number, since it uses as much as digits as its factorization.

12000311300093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

The spelling of 12000311300093 in words is "twelve trillion, three hundred eleven million, three hundred thousand, ninety-three".