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2001003213 = 311101600361
BaseRepresentation
bin111011101000100…
…1110001011001101
312011110020111101010
41313101032023031
513044224100323
6530320235433
7100405150416
oct16721161315
95143214333
102001003213
11937572370
1247a16bb79
1325b738b91
1414da7a80d
15baa0ec93
hex7744e2cd

2001003213 has 16 divisors (see below), whose sum is σ = 2939372352. Its totient is φ = 1200720000.

The previous prime is 2001003131. The next prime is 2001003217. The reversal of 2001003213 is 3123001002.

It is a happy number.

It is not a de Polignac number, because 2001003213 - 210 = 2001002189 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001003217) 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 in 15 ways as a sum of consecutive naturals, for example, 296848 + ... + 303513.

It is an arithmetic number, because the mean of its divisors is an integer number (183710772).

Almost surely, 22001003213 is an apocalyptic number.

It is an amenable number.

2001003213 is a deficient number, since it is larger than the sum of its proper divisors (938369139).

2001003213 is a wasteful number, since it uses less digits than its factorization.

2001003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600476.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2001003213 is about 44732.5744061305. The cubic root of 2001003213 is about 1260.1316762110.

Adding to 2001003213 its reverse (3123001002), we get a palindrome (5124004215).

The spelling of 2001003213 in words is "two billion, one million, three thousand, two hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 3333 600361 1801083 6603971 19811913 60636461 181909383 667001071 2001003213