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1001000008 = 23125125001
BaseRepresentation
bin111011101010100…
…000110001001000
32120202120001212101
4323222200301020
54022224000013
6243154523144
733543234241
oct7352406110
92522501771
101001000008
11474047138
1223b2964b4
1312c4ca3c8
1496d2bcc8
155cd2c8dd
hex3baa0c48

1001000008 has 8 divisors (see below), whose sum is σ = 1876875030. Its totient is φ = 500500000.

The previous prime is 1000999949. The next prime is 1001000027. The reversal of 1001000008 is 8000001001.

It can be written as a sum of positive squares in only one way, i.e., 998433604 + 2566404 = 31598^2 + 1602^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 1000999958 and 1001000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62562493 + ... + 62562508.

Almost surely, 21001000008 is an apocalyptic number.

It is an amenable number.

1001000008 is a deficient number, since it is larger than the sum of its proper divisors (875875022).

1001000008 is a wasteful number, since it uses less digits than its factorization.

1001000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125125007 (or 125125003 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1001000008 is about 31638.5841655407. The cubic root of 1001000008 is about 1000.3332249488. Note that the first 3 decimals are identical.

Adding to 1001000008 its reverse (8000001001), we get a palindrome (9001001009).

The spelling of 1001000008 in words is "one billion, one million, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 125125001 250250002 500500004 1001000008