Search a number
-
+
320121126 = 23313456013
BaseRepresentation
bin10011000101001…
…010100100100110
3211022100211122000
4103011022210212
51123422334001
651433150130
710634661513
oct2305124446
9738324560
10320121126
11154777816
128b25b346
13514243b0
143073030a
151d185a86
hex1314a926

320121126 has 32 divisors (see below), whose sum is σ = 766103520. Its totient is φ = 98498592.

The previous prime is 320121091. The next prime is 320121127. The reversal of 320121126 is 621121023.

320121126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320121099 and 320121108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227305 + ... + 228708.

It is an arithmetic number, because the mean of its divisors is an integer number (23940735).

Almost surely, 2320121126 is an apocalyptic number.

320121126 is an abundant number, since it is smaller than the sum of its proper divisors (445982394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320121126 is a wasteful number, since it uses less digits than its factorization.

320121126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456037 (or 456031 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 320121126 is about 17891.9290743061. The cubic root of 320121126 is about 684.0766688452.

Adding to 320121126 its reverse (621121023), we get a palindrome (941242149).

The spelling of 320121126 in words is "three hundred twenty million, one hundred twenty-one thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 456013 912026 1368039 2736078 4104117 5928169 8208234 11856338 12312351 17784507 24624702 35569014 53353521 106707042 160060563 320121126