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3000131321 = 111719781439
BaseRepresentation
bin1011001011010010…
…0101111011111001
321202002021110110212
42302310211323321
522121013200241
61213411120505
7134226460355
oct26264457371
97662243425
103000131321
1112aa550080
126b88a3135
1338a72c245
1420663c465
151285bcbeb
hexb2d25ef9

3000131321 has 16 divisors (see below), whose sum is σ = 3483025920. Its totient is φ = 2553895680.

The previous prime is 3000131257. The next prime is 3000131327. The reversal of 3000131321 is 1231310003.

It is a cyclic number.

It is not a de Polignac number, because 3000131321 - 26 = 3000131257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3000131296 and 3000131305.

It is not an unprimeable number, because it can be changed into a prime (3000131327) 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 15 ways as a sum of consecutive naturals, for example, 3881 + ... + 77558.

It is an arithmetic number, because the mean of its divisors is an integer number (217689120).

Almost surely, 23000131321 is an apocalyptic number.

It is an amenable number.

3000131321 is a deficient number, since it is larger than the sum of its proper divisors (482894599).

3000131321 is a wasteful number, since it uses less digits than its factorization.

3000131321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81664.

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3000131321 is about 54773.4545286309. The cubic root of 3000131321 is about 1442.2706141843.

Adding to 3000131321 its reverse (1231310003), we get a palindrome (4231441324).

The spelling of 3000131321 in words is "three billion, one hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 11 17 187 197 2167 3349 36839 81439 895829 1384463 15229093 16043483 176478313 272739211 3000131321