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12002210020181 is a prime number
BaseRepresentation
bin1010111010100111101101…
…1101101111101101010101
31120111101210122121202112202
42232221323131233231111
53033121011231121211
641305423354254245
72346062644614023
oct256517335575525
946441718552482
1012002210020181
113908121728767
12141a137a27385
13690a5a51c034
142d6ca5307713
1515c311e6b53b
hexaea7b76fb55

12002210020181 has 2 divisors, whose sum is σ = 12002210020182. Its totient is φ = 12002210020180.

The previous prime is 12002210020139. The next prime is 12002210020211. The reversal of 12002210020181 is 18102001220021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11713738981156 + 288471039025 = 3422534^2 + 537095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002210020181 is a prime.

It is a super-2 number, since 2×120022100201812 (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 (12002210020981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001105010090 + 6001105010091.

It is an arithmetic number, because the mean of its divisors is an integer number (6001105010091).

Almost surely, 212002210020181 is an apocalyptic number.

It is an amenable number.

12002210020181 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002210020181 is an equidigital number, since it uses as much as digits as its factorization.

12002210020181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 12002210020181 in words is "twelve trillion, two billion, two hundred ten million, twenty thousand, one hundred eighty-one".