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132231333003330 = 235116311039611189
BaseRepresentation
bin11110000100001110000001…
…101000011100000001000010
3122100012012011221201022102010
4132010032001220130001002
5114312434232222101310
61145122122532033350
736565253462250501
oct3604160150340102
9570165157638363
10132231333003330
1139150aa2242390
12129b7399a62856
1358a2490722782
14249206020a838
151044991683320
hex784381a1c042

132231333003330 has 128 divisors (see below), whose sum is σ = 347088640204800. Its totient is φ = 31974422457600.

The previous prime is 132231333003323. The next prime is 132231333003379. The reversal of 132231333003330 is 33300333132231.

It is a happy number.

132231333003330 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216045376 + ... + 216656564.

It is an arithmetic number, because the mean of its divisors is an integer number (2711630001600).

Almost surely, 2132231333003330 is an apocalyptic number.

132231333003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132231333003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173544320102400).

132231333003330 is an abundant number, since it is smaller than the sum of its proper divisors (214857307201470).

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

132231333003330 is a wasteful number, since it uses less digits than its factorization.

132231333003330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612880.

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 132231333003330 its reverse (33300333132231), we get a palindrome (165531666135561).

The spelling of 132231333003330 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, three hundred thirty-three million, three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 631 1039 1262 1893 2078 3117 3155 3786 5195 6234 6310 6941 9465 10390 11429 13882 15585 18930 20823 22858 31170 34287 34705 41646 57145 68574 69410 104115 114290 171435 208230 342870 611189 655609 1222378 1311218 1833567 1966827 3055945 3278045 3667134 3933654 6111890 6556090 6723079 7211699 9167835 9834135 13446158 14423398 18335670 19668270 20169237 21635097 33615395 36058495 40338474 43270194 67230790 72116990 100846185 108175485 201692370 216350970 385660259 635025371 771320518 1156980777 1270050742 1905076113 1928301295 2313961554 3175126855 3810152226 3856602590 4242262849 5784903885 6350253710 6985279081 8484525698 9525380565 11569807770 12726788547 13970558162 19050761130 20955837243 21211314245 25453577094 34926395405 41911674486 42422628490 63633942735 69852790810 104779186215 127267885470 209558372430 400701009101 801402018202 1202103027303 2003505045505 2404206054606 4007010091010 4407711100111 6010515136515 8815422200222 12021030273030 13223133300333 22038555500555 26446266600666 44077111001110 66115666501665 132231333003330