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1008138973 is a prime number
BaseRepresentation
bin111100000101101…
…111101011011101
32121020222202200111
4330011233223131
54031040421343
6244011530021
733661016452
oct7405575335
92536882614
101008138973
11478082806
12241759911
13130b2994a
1497c69829
155d78cc9d
hex3c16fadd

1008138973 has 2 divisors, whose sum is σ = 1008138974. Its totient is φ = 1008138972.

The previous prime is 1008138953. The next prime is 1008138991. The reversal of 1008138973 is 3798318001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006348729 + 1790244 = 31723^2 + 1338^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008138973 - 221 = 1006041821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1008138953) 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, 504069486 + 504069487.

It is an arithmetic number, because the mean of its divisors is an integer number (504069487).

Almost surely, 21008138973 is an apocalyptic number.

It is an amenable number.

1008138973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008138973 is an equidigital number, since it uses as much as digits as its factorization.

1008138973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1008138973 is about 31751.2042763735. The cubic root of 1008138973 is about 1002.7056637811.

The spelling of 1008138973 in words is "one billion, eight million, one hundred thirty-eight thousand, nine hundred seventy-three".