Search a number
-
+
2132133 = 3612191
BaseRepresentation
bin1000001000100010100101
311000022201220
420020202211
51021212013
6113410553
724060063
oct10104245
94008656
102132133
1112269a3
12869a59
13598623
143d7033
152c1b23
hex2088a5

2132133 has 12 divisors (see below), whose sum is σ = 2905344. Its totient is φ = 1390800.

The previous prime is 2132129. The next prime is 2132147. The reversal of 2132133 is 3312312.

It is not a de Polignac number, because 2132133 - 22 = 2132129 is a prime.

It is a super-2 number, since 2×21321332 = 9091982259378, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132113) 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 11 ways as a sum of consecutive naturals, for example, 11068 + ... + 11258.

It is an arithmetic number, because the mean of its divisors is an integer number (242112).

22132133 is an apocalyptic number.

It is an amenable number.

2132133 is a deficient number, since it is larger than the sum of its proper divisors (773211).

2132133 is an equidigital number, since it uses as much as digits as its factorization.

2132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 255 counting only the distinct ones).

The product of its digits is 108, while the sum is 15.

The square root of 2132133 is about 1460.1825228375. The cubic root of 2132133 is about 128.7077694784.

Adding to 2132133 its reverse (3312312), we get a palindrome (5444445).

It can be divided in two parts, 213 and 2133, that added together give a triangular number (2346 = T68).

The spelling of 2132133 in words is "two million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 61 183 191 573 3721 11163 11651 34953 710711 2132133