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2023123189 is a prime number
BaseRepresentation
bin111100010010110…
…0110100011110101
312012222212022021111
41320211212203311
513120404420224
6532430315021
7101064156223
oct17045464365
95188768244
102023123189
1194900043a
12485658a71
132631b2219
14152997b13
15bc92dd94
hex789668f5

2023123189 has 2 divisors, whose sum is σ = 2023123190. Its totient is φ = 2023123188.

The previous prime is 2023123187. The next prime is 2023123231. The reversal of 2023123189 is 9813213202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1226190289 + 796932900 = 35017^2 + 28230^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023123189 - 21 = 2023123187 is a prime.

Together with 2023123187, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 2023123189.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2023123187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011561594 + 1011561595.

It is an arithmetic number, because the mean of its divisors is an integer number (1011561595).

Almost surely, 22023123189 is an apocalyptic number.

It is an amenable number.

2023123189 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023123189 is an equidigital number, since it uses as much as digits as its factorization.

2023123189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 2023123189 is about 44979.1417103528. The cubic root of 2023123189 is about 1264.7580219040.

The spelling of 2023123189 in words is "two billion, twenty-three million, one hundred twenty-three thousand, one hundred eighty-nine".