Search a number
-
+
2116131 = 35313309
BaseRepresentation
bin1000000100101000100011
310222111210020
420010220203
51020204011
6113204523
723662323
oct10045043
93874706
102116131
111215976
12860743
13591264
143d1283
152bc006
hex204a23

2116131 has 8 divisors (see below), whose sum is σ = 2874960. Its totient is φ = 1384032.

The previous prime is 2116129. The next prime is 2116183. The reversal of 2116131 is 1316112.

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

It is not a de Polignac number, because 2116131 - 21 = 2116129 is a prime.

It is a super-2 number, since 2×21161312 = 8956020818322, which contains 22 as substring.

2116131 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2116131.

It is not an unprimeable number, because it can be changed into a prime (2116531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6496 + ... + 6813.

It is an arithmetic number, because the mean of its divisors is an integer number (359370).

22116131 is an apocalyptic number.

2116131 is a deficient number, since it is larger than the sum of its proper divisors (758829).

2116131 is a wasteful number, since it uses less digits than its factorization.

2116131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13365.

The product of its digits is 36, while the sum is 15.

The square root of 2116131 is about 1454.6927510646. The cubic root of 2116131 is about 128.3849697569.

The spelling of 2116131 in words is "two million, one hundred sixteen thousand, one hundred thirty-one".

Divisors: 1 3 53 159 13309 39927 705377 2116131