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973128007 is a prime number
BaseRepresentation
bin111010000000001…
…100000101000111
32111211010000200001
4322000030011013
53443110044012
6240321302131
733054310615
oct7200140507
92454100601
10973128007
1145a33a525
12231a94947
131267bbbb7
14933546b5
155a674357
hex3a00c147

973128007 has 2 divisors, whose sum is σ = 973128008. Its totient is φ = 973128006.

The previous prime is 973127983. The next prime is 973128041. The reversal of 973128007 is 700821379.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-973128007 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (973128407) 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, 486564003 + 486564004.

It is an arithmetic number, because the mean of its divisors is an integer number (486564004).

Almost surely, 2973128007 is an apocalyptic number.

973128007 is a deficient number, since it is larger than the sum of its proper divisors (1).

973128007 is an equidigital number, since it uses as much as digits as its factorization.

973128007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 973128007 is about 31194.9997114922. Note that the first 3 decimals coincide. The cubic root of 973128007 is about 990.9612155304.

The spelling of 973128007 in words is "nine hundred seventy-three million, one hundred twenty-eight thousand, seven".