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1000107 = 3412347
BaseRepresentation
bin11110100001010101011
31212210220000
43310022223
5224000412
633234043
711333523
oct3641253
91783800
101000107
11623439
12402923
132902a4
141c0683
1514b4dc
hexf42ab

1000107 has 10 divisors (see below), whose sum is σ = 1494108. Its totient is φ = 666684.

The previous prime is 1000099. The next prime is 1000117. The reversal of 1000107 is 7010001.

It is not a de Polignac number, because 1000107 - 23 = 1000099 is a prime.

It is a super-2 number, since 2×10001072 = 2000428022898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1000117) 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 in 9 ways as a sum of consecutive naturals, for example, 6093 + ... + 6254.

21000107 is an apocalyptic number.

1000107 is a deficient number, since it is larger than the sum of its proper divisors (494001).

1000107 is an equidigital number, since it uses as much as digits as its factorization.

1000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12359 (or 12350 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1000107 is about 1000.0534985690. The cubic root of 1000107 is about 100.0035665395.

Adding to 1000107 its reverse (7010001), we get a palindrome (8010108).

The spelling of 1000107 in words is "one million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 9 27 81 12347 37041 111123 333369 1000107