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2001132231 = 37197170639
BaseRepresentation
bin111011101000110…
…1101101011000111
312011110111001100120
41313101231223013
513044242212411
6530323113023
7100406225520
oct16721555307
95143431316
102001132231
1193765029a
1247a212773
1325b782817
1414dab1847
15baa38106
hex7746dac7

2001132231 has 32 divisors (see below), whose sum is σ = 3255091200. Its totient is φ = 1068046560.

The previous prime is 2001132209. The next prime is 2001132233. The reversal of 2001132231 is 1322311002.

It is not a de Polignac number, because 2001132231 - 27 = 2001132103 is a prime.

It is a super-2 number, since 2×20011322312 = 8009060411894074722, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2001132231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001132233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991 + ... + 63648.

It is an arithmetic number, because the mean of its divisors is an integer number (101721600).

Almost surely, 22001132231 is an apocalyptic number.

2001132231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001132231 is a deficient number, since it is larger than the sum of its proper divisors (1253958969).

2001132231 is a wasteful number, since it uses less digits than its factorization.

2001132231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70739.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2001132231 is about 44734.0164863384. The cubic root of 2001132231 is about 1260.1587586554.

Adding to 2001132231 its reverse (1322311002), we get a palindrome (3323443233).

The spelling of 2001132231 in words is "two billion, one million, one hundred thirty-two thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 57 71 133 213 399 497 1349 1491 4047 9443 28329 70639 211917 494473 1342141 1483419 4026423 5015369 9394987 15046107 28184961 35107583 95292011 105322749 285876033 667044077 2001132231