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2133123029 is a prime number
BaseRepresentation
bin111111100100100…
…1101111111010101
312111122211212200122
41333021031333111
513332034414104
6551400121325
7103601150402
oct17711157725
95448755618
102133123029
119a51019a4
124b6466245
1327cc1749b
1416342d2a9
15c740b6be
hex7f24dfd5

2133123029 has 2 divisors, whose sum is σ = 2133123030. Its totient is φ = 2133123028.

The previous prime is 2133122983. The next prime is 2133123049. The reversal of 2133123029 is 9203213312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1544332804 + 588790225 = 39298^2 + 24265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2133123029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2133122989 and 2133123007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2133123049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1066561514 + 1066561515.

It is an arithmetic number, because the mean of its divisors is an integer number (1066561515).

Almost surely, 22133123029 is an apocalyptic number.

It is an amenable number.

2133123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2133123029 is an equidigital number, since it uses as much as digits as its factorization.

2133123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2133123029 is about 46185.7448678702. The cubic root of 2133123029 is about 1287.2768767088.

The spelling of 2133123029 in words is "two billion, one hundred thirty-three million, one hundred twenty-three thousand, twenty-nine".