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2100428329 is a prime number
BaseRepresentation
bin111110100110001…
…1111111000101001
312102101022210222211
41331030133320221
513300202201304
6544231245121
7103023226516
oct17514377051
95371283884
102100428329
1198870098a
124a75197a1
1327620aacc
1415cd5c30d
15c45ee204
hex7d31fe29

2100428329 has 2 divisors, whose sum is σ = 2100428330. Its totient is φ = 2100428328.

The previous prime is 2100428279. The next prime is 2100428339. The reversal of 2100428329 is 9238240012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1191285225 + 909143104 = 34515^2 + 30152^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100428329 - 211 = 2100426281 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100428329.

It is not a weakly prime, because it can be changed into another prime (2100428339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050214164 + 1050214165.

It is an arithmetic number, because the mean of its divisors is an integer number (1050214165).

Almost surely, 22100428329 is an apocalyptic number.

It is an amenable number.

2100428329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100428329 is an equidigital number, since it uses as much as digits as its factorization.

2100428329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2100428329 is about 45830.4301638115. The cubic root of 2100428329 is about 1280.6662240200. Note that the first 3 decimals are identical.

The spelling of 2100428329 in words is "two billion, one hundred million, four hundred twenty-eight thousand, three hundred twenty-nine".