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3131002321 is a prime number
BaseRepresentation
bin1011101010011111…
…0100110111010001
322002012112101201221
42322213310313101
522403014033241
61234404125041
7140406036436
oct27247646721
98065471657
103131002321
111367407427
12734696781
133ab8912c5
14219b87b8d
15134d1e5d1
hexba9f4dd1

3131002321 has 2 divisors, whose sum is σ = 3131002322. Its totient is φ = 3131002320.

The previous prime is 3131002309. The next prime is 3131002331. The reversal of 3131002321 is 1232001313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3129283600 + 1718721 = 55940^2 + 1311^2 .

It is an emirp because it is prime and its reverse (1232001313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3131002321 - 213 = 3130994129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3131002295 and 3131002304.

It is not a weakly prime, because it can be changed into another prime (3131002331) 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 as a sum of consecutive naturals, namely, 1565501160 + 1565501161.

It is an arithmetic number, because the mean of its divisors is an integer number (1565501161).

Almost surely, 23131002321 is an apocalyptic number.

It is an amenable number.

3131002321 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131002321 is an equidigital number, since it uses as much as digits as its factorization.

3131002321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3131002321 is about 55955.3600739018. The cubic root of 3131002321 is about 1462.9443180735.

Adding to 3131002321 its reverse (1232001313), we get a palindrome (4363003634).

The spelling of 3131002321 in words is "three billion, one hundred thirty-one million, two thousand, three hundred twenty-one".