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2001342321 = 321137546367
BaseRepresentation
bin111011101001010…
…0000111101110001
312011110212201112200
41313102200331301
513044320423241
6530331413413
7100411062156
oct16722407561
95143781480
102001342321
11937784120
1247a2b4269
1325b827334
1414db2822d
15baa7a4b6
hex774a0f71

2001342321 has 24 divisors (see below), whose sum is σ = 3238869504. Its totient is φ = 1180150560.

The previous prime is 2001342319. The next prime is 2001342337. The reversal of 2001342321 is 1232431002.

2001342321 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 342 + 321 = 666.

It is not a de Polignac number, because 2001342321 - 21 = 2001342319 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2001342294 and 2001342303.

It is not an unprimeable number, because it can be changed into a prime (2001342311) 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 23 ways as a sum of consecutive naturals, for example, 269521 + ... + 276846.

It is an arithmetic number, because the mean of its divisors is an integer number (134952896).

Almost surely, 22001342321 is an apocalyptic number.

It is an amenable number.

2001342321 is a deficient number, since it is larger than the sum of its proper divisors (1237527183).

2001342321 is a wasteful number, since it uses less digits than its factorization.

2001342321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546421 (or 546418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2001342321 is about 44736.3646377307. The cubic root of 2001342321 is about 1260.2028566057.

Adding to 2001342321 its reverse (1232431002), we get a palindrome (3233773323).

The spelling of 2001342321 in words is "two billion, one million, three hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 546367 1639101 4917303 6010037 18030111 20215579 54090333 60646737 181940211 222371369 667114107 2001342321