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10321301329 is a prime number
BaseRepresentation
bin10011001110011001…
…01000111101010001
3222122022100102200121
421213030220331101
5132114223120304
64424101150241
7513525420343
oct114714507521
928568312617
1010321301329
1144171184a9
1220006bb381
13c86435ac1
146dcabd293
154061c8554
hex267328f51

10321301329 has 2 divisors, whose sum is σ = 10321301330. Its totient is φ = 10321301328.

The previous prime is 10321301299. The next prime is 10321301363. The reversal of 10321301329 is 92310312301.

10321301329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10009602304 + 311699025 = 100048^2 + 17655^2 .

It is an emirp because it is prime and its reverse (92310312301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10321301329 - 29 = 10321300817 is a prime.

It is a super-2 number, since 2×103213013292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10321301399) 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, 5160650664 + 5160650665.

It is an arithmetic number, because the mean of its divisors is an integer number (5160650665).

Almost surely, 210321301329 is an apocalyptic number.

It is an amenable number.

10321301329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10321301329 is an equidigital number, since it uses as much as digits as its factorization.

10321301329 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 25.

The spelling of 10321301329 in words is "ten billion, three hundred twenty-one million, three hundred one thousand, three hundred twenty-nine".