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2001002001 = 323291019901
BaseRepresentation
bin111011101000100…
…1101111000010001
312011110020102201020
41313101031320101
513044224031001
6530320230053
7100405144035
oct16721157021
95143212636
102001002001
11937571469
1247a16b329
1325b73846b
1414da7a1c5
15baa0e736
hex7744de11

2001002001 has 32 divisors (see below), whose sum is σ = 2908811520. Its totient is φ = 1219680000.

The previous prime is 2001001997. The next prime is 2001002011. The reversal of 2001002001 is 1002001002.

It is a happy number.

It is not a de Polignac number, because 2001002001 - 22 = 2001001997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001002011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197151 + ... + 207051.

It is an arithmetic number, because the mean of its divisors is an integer number (90900360).

Almost surely, 22001002001 is an apocalyptic number.

It is an amenable number.

2001002001 is a deficient number, since it is larger than the sum of its proper divisors (907809519).

2001002001 is a wasteful number, since it uses less digits than its factorization.

2001002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2001002001 is about 44732.5608589537. The cubic root of 2001002001 is about 1260.1314217920.

Adding to 2001002001 its reverse (1002001002), we get a palindrome (3003003003).

Subtracting from 2001002001 its reverse (1002001002), we obtain a palindrome (999000999).

It can be divided in two parts, 200100 and 2001, that multiplied together give a square (400400100 = 200102).

The spelling of 2001002001 in words is "two billion, one million, two thousand, one".

Divisors: 1 3 23 29 69 87 101 303 667 2001 2323 2929 6969 8787 9901 29703 67367 202101 227723 287129 683169 861387 1000001 3000003 6603967 19811901 23000023 29000029 69000069 87000087 667000667 2001002001