Search a number
-
+
133230342300 = 2235211101399731
BaseRepresentation
bin111110000010100100…
…1011011000010011100
3110201220001101122012020
41330011021123002130
54140323431423200
6141112152340140
712424400136636
oct1740511330234
9421801348166
10133230342300
1151559067110
12219a26a4650
13c743208093
14663c511a56
1536eb756ea0
hex1f0525b09c

133230342300 has 144 divisors (see below), whose sum is σ = 424688068224. Its totient is φ = 31978400000.

The previous prime is 133230342293. The next prime is 133230342313. The reversal of 133230342300 is 3243032331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133435 + ... + 533165.

It is an arithmetic number, because the mean of its divisors is an integer number (2949222696).

Almost surely, 2133230342300 is an apocalyptic number.

133230342300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133230342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212344034112).

133230342300 is an abundant number, since it is smaller than the sum of its proper divisors (291457725924).

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

133230342300 is a wasteful number, since it uses less digits than its factorization.

133230342300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399860 (or 399853 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 133230342300 its reverse (3243032331), we get a palindrome (136473374631).

The spelling of 133230342300 in words is "one hundred thirty-three billion, two hundred thirty million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 399731 799462 1199193 1598924 1998655 2398386 3997310 4397041 4796772 5995965 7994620 8794082 9993275 11991930 13191123 17588164 19986550 21985205 23983860 26382246 29979825 39973100 40372831 43970410 52764492 59959650 65955615 80745662 87940820 109926025 119919300 121118493 131911230 161491324 201864155 219852050 242236986 263822460 329778075 403728310 439704100 444101141 484473972 605592465 659556150 807456620 888202282 1009320775 1211184930 1319112300 1332303423 1776404564 2018641550 2220505705 2422369860 2664606846 3027962325 4037283100 4441011410 5329213692 6055924650 6661517115 8882022820 11102528525 12111849300 13323034230 22205057050 26646068460 33307585575 44410114100 66615171150 133230342300