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1029188201 is a prime number
BaseRepresentation
bin111101010110000…
…010101001101001
32122201121011210112
4331112002221221
54101433010301
6250043024105
734334645456
oct7526025151
92581534715
101029188201
11488a4a368
1224880b035
131352b9802
149a98882d
15605499bb
hex3d582a69

1029188201 has 2 divisors, whose sum is σ = 1029188202. Its totient is φ = 1029188200.

The previous prime is 1029188183. The next prime is 1029188203. The reversal of 1029188201 is 1028819201.

1029188201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 567582976 + 461605225 = 23824^2 + 21485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1029188201 is a prime.

It is a Sophie Germain prime.

Together with 1029188203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1029188203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 514594100 + 514594101.

It is an arithmetic number, because the mean of its divisors is an integer number (514594101).

Almost surely, 21029188201 is an apocalyptic number.

It is an amenable number.

1029188201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1029188201 is an equidigital number, since it uses as much as digits as its factorization.

1029188201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 1029188201 is about 32080.9632180831. The cubic root of 1029188201 is about 1009.6362448535.

The spelling of 1029188201 in words is "one billion, twenty-nine million, one hundred eighty-eight thousand, two hundred one".