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1010101007 is a prime number
BaseRepresentation
bin111100001101001…
…110101100001111
32121101200110002102
4330031032230033
54032041213012
6244121545315
734013500616
oct7415165417
92541613072
101010101007
114791a2923
1224234523b
13131365a06
149821a87d
155da292c2
hex3c34eb0f

1010101007 has 2 divisors, whose sum is σ = 1010101008. Its totient is φ = 1010101006.

The previous prime is 1010100991. The next prime is 1010101039. The reversal of 1010101007 is 7001010101.

It is a weak prime.

It is an emirp because it is prime and its reverse (7001010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010101007 - 24 = 1010100991 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010101607) 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, 505050503 + 505050504.

It is an arithmetic number, because the mean of its divisors is an integer number (505050504).

Almost surely, 21010101007 is an apocalyptic number.

1010101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010101007 is an equidigital number, since it uses as much as digits as its factorization.

1010101007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 1010101007 is about 31782.0862594009. The cubic root of 1010101007 is about 1003.3557288212.

Adding to 1010101007 its reverse (7001010101), we get a palindrome (8011111108).

The spelling of 1010101007 in words is "one billion, ten million, one hundred one thousand, seven".