Search a number
-
+
2001311313231 = 32923003578313
BaseRepresentation
bin11101000111110111011…
…100110010110101001111
321002022201211022110112210
4131013313130302311033
5230242141144010411
64131220103001503
7264406234324506
oct35076734626517
97068654273483
102001311313231
1170182a07592a
12283a4b139293
13116952130869
146cc14ab783d
15370d31a4ca6
hex1d1f7732d4f

2001311313231 has 8 divisors (see below), whose sum is σ = 2760429397680. Its totient is φ = 1288200385472.

The previous prime is 2001311313227. The next prime is 2001311313259. The reversal of 2001311313231 is 1323131131002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2001311313231 - 22 = 2001311313227 is a prime.

It is a super-2 number, since 2×20013113132312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2001311313198 and 2001311313207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001311315231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11501789070 + ... + 11501789243.

It is an arithmetic number, because the mean of its divisors is an integer number (345053674710).

Almost surely, 22001311313231 is an apocalyptic number.

2001311313231 is a deficient number, since it is larger than the sum of its proper divisors (759118084449).

2001311313231 is a wasteful number, since it uses less digits than its factorization.

2001311313231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23003578345.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 2001311313231 its reverse (1323131131002), we get a palindrome (3324442444233).

The spelling of 2001311313231 in words is "two trillion, one billion, three hundred eleven million, three hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 29 87 23003578313 69010734939 667103771077 2001311313231