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1309121129 is a prime number
BaseRepresentation
bin100111000000111…
…1001101001101001
310101020100020120202
41032001321221221
510140113334004
6333523001545
744304226451
oct11601715151
93336306522
101309121129
11611a68098
123065092b5
1317b2ac7b4
14c5c16d61
1579de2b1e
hex4e079a69

1309121129 has 2 divisors, whose sum is σ = 1309121130. Its totient is φ = 1309121128.

The previous prime is 1309121101. The next prime is 1309121131. The reversal of 1309121129 is 9211219031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 833881129 + 475240000 = 28877^2 + 21800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1309121129 is a prime.

Together with 1309121131, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1309121179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 654560564 + 654560565.

It is an arithmetic number, because the mean of its divisors is an integer number (654560565).

Almost surely, 21309121129 is an apocalyptic number.

It is an amenable number.

1309121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1309121129 is an equidigital number, since it uses as much as digits as its factorization.

1309121129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 29.

The square root of 1309121129 is about 36181.7789640034. The cubic root of 1309121129 is about 1093.9394327935.

The spelling of 1309121129 in words is "one billion, three hundred nine million, one hundred twenty-one thousand, one hundred twenty-nine".