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2124123329 is a prime number
BaseRepresentation
bin111111010011011…
…1000110011000001
312111000220122102102
41332212320303001
513322233421304
6550435200145
7103431515246
oct17646706301
95430818372
102124123329
119a0015329
124b3446055
1327b0b6013
141621695cd
15c672ed1e
hex7e9b8cc1

2124123329 has 2 divisors, whose sum is σ = 2124123330. Its totient is φ = 2124123328.

The previous prime is 2124123277. The next prime is 2124123389. The reversal of 2124123329 is 9233214212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1141426225 + 982697104 = 33785^2 + 31348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124123329 - 212 = 2124119233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2124123389) 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, 1062061664 + 1062061665.

It is an arithmetic number, because the mean of its divisors is an integer number (1062061665).

Almost surely, 22124123329 is an apocalyptic number.

It is an amenable number.

2124123329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124123329 is an equidigital number, since it uses as much as digits as its factorization.

2124123329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5184, while the sum is 29.

The square root of 2124123329 is about 46088.2124734731. The cubic root of 2124123329 is about 1285.4639735204.

The spelling of 2124123329 in words is "two billion, one hundred twenty-four million, one hundred twenty-three thousand, three hundred twenty-nine".