Search a number
-
+
2013135331 = 37268720249
BaseRepresentation
bin111011111111110…
…0000000111100011
312012022001212111211
41313333200013203
513110330312311
6531432250551
7100613240134
oct16777400743
95168055454
102013135331
119433a9409
12482240a57
132610c604c
14151517c8b
15bbb09821
hex77fe01e3

2013135331 has 8 divisors (see below), whose sum is σ = 2068416000. Its totient is φ = 1957900608.

The previous prime is 2013135281. The next prime is 2013135337. The reversal of 2013135331 is 1335313102.

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 a de Polignac number, because none of the positive numbers 2k-2013135331 is a prime.

It is a super-2 number, since 2×20131353312 = 8105427721840959122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013135337) 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 7 ways as a sum of consecutive naturals, for example, 89295 + ... + 109543.

It is an arithmetic number, because the mean of its divisors is an integer number (258552000).

Almost surely, 22013135331 is an apocalyptic number.

2013135331 is a deficient number, since it is larger than the sum of its proper divisors (55280669).

2013135331 is a wasteful number, since it uses less digits than its factorization.

2013135331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22973.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 2013135331 is about 44867.9766760214. The cubic root of 2013135331 is about 1262.6732800881.

Adding to 2013135331 its reverse (1335313102), we get a palindrome (3348448433).

The spelling of 2013135331 in words is "two billion, thirteen million, one hundred thirty-five thousand, three hundred thirty-one".

Divisors: 1 37 2687 20249 99419 749213 54409063 2013135331