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2013117329 is a prime number
BaseRepresentation
bin111011111111101…
…1011101110010001
312012022000221211002
41313333123232101
513110324223304
6531432031345
7100613133506
oct16777335621
95168027732
102013117329
11943396933
12482232555
132610baab2
141515114ad
15bbb0431e
hex77fdbb91

2013117329 has 2 divisors, whose sum is σ = 2013117330. Its totient is φ = 2013117328.

The previous prime is 2013117311. The next prime is 2013117341. The reversal of 2013117329 is 9237113102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1899652225 + 113465104 = 43585^2 + 10652^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013117329 - 212 = 2013113233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2013117829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006558664 + 1006558665.

It is an arithmetic number, because the mean of its divisors is an integer number (1006558665).

Almost surely, 22013117329 is an apocalyptic number.

It is an amenable number.

2013117329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013117329 is an equidigital number, since it uses as much as digits as its factorization.

2013117329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 2013117329 is about 44867.7760647884. The cubic root of 2013117329 is about 1262.6695163550.

The spelling of 2013117329 in words is "two billion, thirteen million, one hundred seventeen thousand, three hundred twenty-nine".