Search a number
-
+
132141031000 = 23531153226657
BaseRepresentation
bin111101100010000111…
…0000001111001011000
3110122002010122220000021
41323010032001321120
54131111100443000
6140412120520224
712355402142146
oct1730416017130
9418063586007
10132141031000
115104a192440
1221739920074
13c5cb62a594
146577996596
153685cd311a
hex1ec4381e58

132141031000 has 128 divisors (see below), whose sum is σ = 343686058560. Its totient is φ = 47144448000.

The previous prime is 132141030943. The next prime is 132141031003. The reversal of 132141031000 is 130141231.

It is a super-2 number, since 2×1321410310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141031003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 469672 + ... + 696328.

Almost surely, 2132141031000 is an apocalyptic number.

132141031000 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 132141031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171843029280).

132141031000 is an abundant number, since it is smaller than the sum of its proper divisors (211545027560).

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

132141031000 is a wasteful number, since it uses less digits than its factorization.

132141031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226742 (or 226728 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132141031000 its reverse (130141231), we get a palindrome (132271172231).

The spelling of 132141031000 in words is "one hundred thirty-two billion, one hundred forty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 53 55 88 100 106 110 125 200 212 220 250 265 275 424 440 500 530 550 583 1000 1060 1100 1166 1325 1375 2120 2200 2332 2650 2750 2915 4664 5300 5500 5830 6625 10600 11000 11660 13250 14575 23320 26500 29150 53000 58300 72875 116600 145750 226657 291500 453314 583000 906628 1133285 1813256 2266570 2493227 4533140 4986454 5666425 9066280 9972908 11332850 12012821 12466135 19945816 22665700 24025642 24932270 28332125 45331400 48051284 49864540 56664250 60064105 62330675 96102568 99729080 113328500 120128210 124661350 132141031 226657000 240256420 249322700 264282062 300320525 311653375 480512840 498645400 528564124 600641050 623306750 660705155 1057128248 1201282100 1246613500 1321410310 1501602625 2402564200 2493227000 2642820620 3003205250 3303525775 5285641240 6006410500 6607051550 12012821000 13214103100 16517628875 26428206200 33035257750 66070515500 132141031000