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200201111012029 is a prime number
BaseRepresentation
bin101101100001010011110100…
…000110110000001010111101
3222020212001001122111000001111
4231201103310012300022331
5202220043333404341104
61545443042024242021
760112024106600611
oct5541236406601275
9866761048430044
10200201111012029
11588768a5a30306
121a554397010311
138792b6481610a
143761add4ad341
151822a54d22404
hexb614f41b02bd

200201111012029 has 2 divisors, whose sum is σ = 200201111012030. Its totient is φ = 200201111012028.

The previous prime is 200201111011997. The next prime is 200201111012087. The reversal of 200201111012029 is 920210111102002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189568783486404 + 10632327525625 = 13768398^2 + 3260725^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201111012029 - 25 = 200201111011997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200201111012629) 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 as a sum of consecutive naturals, namely, 100100555506014 + 100100555506015.

It is an arithmetic number, because the mean of its divisors is an integer number (100100555506015).

Almost surely, 2200201111012029 is an apocalyptic number.

It is an amenable number.

200201111012029 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201111012029 is an equidigital number, since it uses as much as digits as its factorization.

200201111012029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 200201111012029 in words is "two hundred trillion, two hundred one billion, one hundred eleven million, twelve thousand, twenty-nine".