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1030400117 is a prime number
BaseRepresentation
bin111101011010101…
…010100001110101
32122210212202020022
4331122222201311
54102240300432
6250125014525
734351153655
oct7532524165
92583782208
101030400117
114896a794a
122490b4445
13135622316
149abc2365
15606d8b12
hex3d6aa875

1030400117 has 2 divisors, whose sum is σ = 1030400118. Its totient is φ = 1030400116.

The previous prime is 1030400101. The next prime is 1030400159. The reversal of 1030400117 is 7110040301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998939236 + 31460881 = 31606^2 + 5609^2 .

It is a cyclic number.

It is not a de Polignac number, because 1030400117 - 24 = 1030400101 is a prime.

It is a super-2 number, since 2×10304001172 = 2123448802227227378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030400095 and 1030400104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1030400017) 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, 515200058 + 515200059.

It is an arithmetic number, because the mean of its divisors is an integer number (515200059).

Almost surely, 21030400117 is an apocalyptic number.

It is an amenable number.

1030400117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1030400117 is an equidigital number, since it uses as much as digits as its factorization.

1030400117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 1030400117 is about 32099.8460588209. The cubic root of 1030400117 is about 1010.0323869626.

Adding to 1030400117 its reverse (7110040301), we get a palindrome (8140440418).

The spelling of 1030400117 in words is "one billion, thirty million, four hundred thousand, one hundred seventeen".