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2124205729 is a prime number
BaseRepresentation
bin111111010011100…
…1100111010100001
312111001001211110021
41332213030322201
513322244040404
6550441033441
7103432310422
oct17647147241
95431054407
102124205729
119a0071228
124b3485881
1327b114689
1416218b649
15c6749454
hex7e9ccea1

2124205729 has 2 divisors, whose sum is σ = 2124205730. Its totient is φ = 2124205728.

The previous prime is 2124205723. The next prime is 2124205739. The reversal of 2124205729 is 9275024212.

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., 2119681600 + 4524129 = 46040^2 + 2127^2 .

It is a cyclic number.

It is not a de Polignac number, because 2124205729 - 215 = 2124172961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2124205694 and 2124205703.

It is not a weakly prime, because it can be changed into another prime (2124205723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1062102864 + 1062102865.

It is an arithmetic number, because the mean of its divisors is an integer number (1062102865).

Almost surely, 22124205729 is an apocalyptic number.

It is an amenable number.

2124205729 is a deficient number, since it is larger than the sum of its proper divisors (1).

2124205729 is an equidigital number, since it uses as much as digits as its factorization.

2124205729 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 2124205729 is about 46089.1064027065. The cubic root of 2124205729 is about 1285.4805954149.

The spelling of 2124205729 in words is "two billion, one hundred twenty-four million, two hundred five thousand, seven hundred twenty-nine".