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4400125313 is a prime number
BaseRepresentation
bin1000001100100010…
…01001010110000001
3102100122121112012012
410012101021112001
533002413002223
62004341542305
7214016306453
oct40621112601
912318545165
104400125313
111958835301
12a29714995
135517a805c
142da54c2d3
151ab460c78
hex106449581

4400125313 has 2 divisors, whose sum is σ = 4400125314. Its totient is φ = 4400125312.

The previous prime is 4400125307. The next prime is 4400125321. The reversal of 4400125313 is 3135210044.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2413462129 + 1986663184 = 49127^2 + 44572^2 .

It is a cyclic number.

It is not a de Polignac number, because 4400125313 - 224 = 4383348097 is a prime.

It is a super-3 number, since 3×44001253133 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4400125363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200062656 + 2200062657.

It is an arithmetic number, because the mean of its divisors is an integer number (2200062657).

Almost surely, 24400125313 is an apocalyptic number.

It is an amenable number.

4400125313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4400125313 is an equidigital number, since it uses as much as digits as its factorization.

4400125313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4400125313 is about 66333.4403826607. The cubic root of 4400125313 is about 1638.6580973576.

Adding to 4400125313 its reverse (3135210044), we get a palindrome (7535335357).

The spelling of 4400125313 in words is "four billion, four hundred million, one hundred twenty-five thousand, three hundred thirteen".