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1009030001 = 7293721977
BaseRepresentation
bin111100001001001…
…001001101110001
32121022200000221112
4330021021031301
54031302430001
6244043003105
734001420300
oct7411111561
92538600845
101009030001
114786311a1
12241b09495
1313107c395
149801c437
155d8b6cbb
hex3c249371

1009030001 has 12 divisors (see below), whose sum is σ = 1175075748. Its totient is φ = 863920512.

The previous prime is 1009029971. The next prime is 1009030013. The reversal of 1009030001 is 1000309001.

It can be written as a sum of positive squares in 2 ways, for example, as 225030001 + 784000000 = 15001^2 + 28000^2 .

It is not a de Polignac number, because 1009030001 - 222 = 1004835697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1009030081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34925 + ... + 56901.

It is an arithmetic number, because the mean of its divisors is an integer number (97922979).

Almost surely, 21009030001 is an apocalyptic number.

It is an amenable number.

1009030001 is a deficient number, since it is larger than the sum of its proper divisors (166045747).

1009030001 is an equidigital number, since it uses as much as digits as its factorization.

1009030001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22928 (or 22921 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 1009030001 is about 31765.2325821802. The cubic root of 1009030001 is about 1003.0009854110. Note that the first 3 decimals are identical.

Adding to 1009030001 its reverse (1000309001), we get a palindrome (2009339002).

The spelling of 1009030001 in words is "one billion, nine million, thirty thousand, one".

Divisors: 1 7 49 937 6559 21977 45913 153839 1076873 20592449 144147143 1009030001