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101000110012189 is a prime number
BaseRepresentation
bin10110111101101111101011…
…101011011111011100011101
3111020121111221022202011010021
4112331233223223133130131
5101214241211130342224
6554450450543112141
730163005611033443
oct2675575353373435
9436544838664107
10101000110012189
112a1aa9a7041933
12b3b25b85a2651
13444836714c54b
141ad2607ad4b93
15ba23a0a171e4
hex5bdbebadf71d

101000110012189 has 2 divisors, whose sum is σ = 101000110012190. Its totient is φ = 101000110012188.

The previous prime is 101000110012183. The next prime is 101000110012267. The reversal of 101000110012189 is 981210011000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69845382596025 + 31154727416164 = 8357355^2 + 5581642^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000110012189 - 213 = 101000110003997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000110012183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500055006094 + 50500055006095.

It is an arithmetic number, because the mean of its divisors is an integer number (50500055006095).

Almost surely, 2101000110012189 is an apocalyptic number.

It is an amenable number.

101000110012189 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000110012189 is an equidigital number, since it uses as much as digits as its factorization.

101000110012189 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 25.

The spelling of 101000110012189 in words is "one hundred one trillion, one hundred ten million, twelve thousand, one hundred eighty-nine".