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2123827193 is a prime number
BaseRepresentation
bin111111010010111…
…0000011111111001
312111000100121012102
41332211300133321
513322144432233
6550424553145
7103426143005
oct17645603771
95430317172
102123827193
1199a932894
124b33227b5
1327b0112a7
141620cd705
15c66c21e8
hex7e9707f9

2123827193 has 2 divisors, whose sum is σ = 2123827194. Its totient is φ = 2123827192.

The previous prime is 2123827133. The next prime is 2123827207. The reversal of 2123827193 is 3917283212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1619016169 + 504811024 = 40237^2 + 22468^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123827193 - 26 = 2123827129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123827103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061913596 + 1061913597.

It is an arithmetic number, because the mean of its divisors is an integer number (1061913597).

Almost surely, 22123827193 is an apocalyptic number.

It is an amenable number.

2123827193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123827193 is an equidigital number, since it uses as much as digits as its factorization.

2123827193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36288, while the sum is 38.

The square root of 2123827193 is about 46084.9996528154. Note that the first 3 decimals coincide. The cubic root of 2123827193 is about 1285.4042328192.

The spelling of 2123827193 in words is "two billion, one hundred twenty-three million, eight hundred twenty-seven thousand, one hundred ninety-three".