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310121330321 = 11210125376101
BaseRepresentation
bin1001000001101001010…
…10111111011010010001
31002122110212222212210002
410200310222333122101
520040112030032241
6354245012215345
731256044546115
oct4406452773221
91078425885702
10310121330321
1110a581451600
125012b00a555
13233239ba66a
141101d449745
15810103689b
hex4834abf691

310121330321 has 12 divisors (see below), whose sum is σ = 344252199732. Its totient is φ = 279137100000.

The previous prime is 310121330291. The next prime is 310121330327. The reversal of 310121330321 is 123033121013.

It can be written as a sum of positive squares in 2 ways, for example, as 220370158096 + 89751172225 = 469436^2 + 299585^2 .

It is not a de Polignac number, because 310121330321 - 214 = 310121313937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 310121330293 and 310121330302.

It is not an unprimeable number, because it can be changed into a prime (310121330327) 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 in 11 ways as a sum of consecutive naturals, for example, 12675830 + ... + 12700271.

It is an arithmetic number, because the mean of its divisors is an integer number (28687683311).

Almost surely, 2310121330321 is an apocalyptic number.

It is an amenable number.

310121330321 is a deficient number, since it is larger than the sum of its proper divisors (34130869411).

310121330321 is a wasteful number, since it uses less digits than its factorization.

310121330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376224 (or 25376213 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 310121330321 its reverse (123033121013), we get a palindrome (433154451334).

The spelling of 310121330321 in words is "three hundred ten billion, one hundred twenty-one million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 11 101 121 1111 12221 25376101 279137111 2562986201 3070508221 28192848211 310121330321