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2001211303 = 72132241663
BaseRepresentation
bin111011101001000…
…0000111110100111
312011110122001211011
41313102000332213
513044302230203
6530324523051
7100410005200
oct16722007647
95143561734
102001211303
119376a4743
1247a250487
1325b7ac800
1414dad25a7
15baa5176d
hex77480fa7

2001211303 has 18 divisors (see below), whose sum is σ = 2520797184. Its totient is φ = 1583369424.

The previous prime is 2001211297. The next prime is 2001211313. The reversal of 2001211303 is 3031121002.

It is a de Polignac number, because none of the positive numbers 2k-2001211303 is a prime.

It is a super-3 number, since 3×20012113033 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001211313) 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 17 ways as a sum of consecutive naturals, for example, 112551 + ... + 129112.

It is an arithmetic number, because the mean of its divisors is an integer number (140044288).

Almost surely, 22001211303 is an apocalyptic number.

2001211303 is a deficient number, since it is larger than the sum of its proper divisors (519585881).

2001211303 is a wasteful number, since it uses less digits than its factorization.

2001211303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241703 (or 241683 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2001211303 is about 44734.9002793121. The cubic root of 2001211303 is about 1260.1753562527.

Adding to 2001211303 its reverse (3031121002), we get a palindrome (5032332305).

The spelling of 2001211303 in words is "two billion, one million, two hundred eleven thousand, three hundred three".

Divisors: 1 7 13 49 91 169 637 1183 8281 241663 1691641 3141619 11841487 21991333 40841047 153939331 285887329 2001211303