Search a number
-
+
2106113 = 17229541
BaseRepresentation
bin1000000010001100000001
310222000001012
420002030001
51014343423
6113050305
723621162
oct10021401
93860035
102106113
111209399
12856995
13589829
143cb769
152b9078
hex202301

2106113 has 8 divisors (see below), whose sum is σ = 2243880. Its totient is φ = 1969920.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106113 is 3116012.

It can be written as a sum of positive squares in 4 ways, for example, as 976144 + 1129969 = 988^2 + 1063^2 .

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-2106113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2106173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3623 + ... + 4163.

It is an arithmetic number, because the mean of its divisors is an integer number (280485).

22106113 is an apocalyptic number.

It is an amenable number.

2106113 is a deficient number, since it is larger than the sum of its proper divisors (137767).

2106113 is a wasteful number, since it uses less digits than its factorization.

2106113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2106113 is about 1451.2453272965. The cubic root of 2106113 is about 128.1820529571.

It can be divided in two parts, 2 and 106113, that multiplied together give a triangular number (212226 = T651).

The spelling of 2106113 in words is "two million, one hundred six thousand, one hundred thirteen".

Divisors: 1 17 229 541 3893 9197 123889 2106113