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1031313001 is a prime number
BaseRepresentation
bin111101011110001…
…001011001101001
32122212121010110211
4331132021121221
54103004004001
6250200341121
734362005305
oct7536113151
92585533424
101031313001
1148a1707a4
122494747a1
131358819a4
149ad7cd05
1560819351
hex3d789669

1031313001 has 2 divisors, whose sum is σ = 1031313002. Its totient is φ = 1031313000.

The previous prime is 1031312981. The next prime is 1031313011. The reversal of 1031313001 is 1003131301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 549949401 + 481363600 = 23451^2 + 21940^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031313001 - 25 = 1031312969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1031313011) 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, 515656500 + 515656501.

It is an arithmetic number, because the mean of its divisors is an integer number (515656501).

Almost surely, 21031313001 is an apocalyptic number.

It is an amenable number.

1031313001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031313001 is an equidigital number, since it uses as much as digits as its factorization.

1031313001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 1031313001 is about 32114.0623559213. The cubic root of 1031313001 is about 1010.3305786487.

Adding to 1031313001 its reverse (1003131301), we get a palindrome (2034444302).

It can be divided in two parts, 103131300 and 1, that added together give a palindrome (103131301).

The spelling of 1031313001 in words is "one billion, thirty-one million, three hundred thirteen thousand, one".