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1007106973 is a prime number
BaseRepresentation
bin111100000001110…
…011101110011101
32121012001100001021
4330001303232131
54030304410343
6243533444141
733646160635
oct7401635635
92535040037
101007106973
11477538414
12241340651
13130857cb2
1497a7b6c5
155d6370ed
hex3c073b9d

1007106973 has 2 divisors, whose sum is σ = 1007106974. Its totient is φ = 1007106972.

The previous prime is 1007106953. The next prime is 1007107039. The reversal of 1007106973 is 3796017001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990801529 + 16305444 = 31477^2 + 4038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007106973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007106923) 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, 503553486 + 503553487.

It is an arithmetic number, because the mean of its divisors is an integer number (503553487).

Almost surely, 21007106973 is an apocalyptic number.

It is an amenable number.

1007106973 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007106973 is an equidigital number, since it uses as much as digits as its factorization.

1007106973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7938, while the sum is 34.

The square root of 1007106973 is about 31734.9487631538. The cubic root of 1007106973 is about 1002.3634009356.

The spelling of 1007106973 in words is "one billion, seven million, one hundred six thousand, nine hundred seventy-three".