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132032031010000 = 2454112109117381
BaseRepresentation
bin11110000001010100011010…
…010011101010110011010000
3122022111010202020212001001121
4132001110122103222303100
5114301203044414310000
61144450402214412024
736544666545253402
oct3601243223526320
9568433666761047
10132032031010000
1139084519489a00
1212984838061014
13588974abc55c4
142486554b04b72
15103e6c963ab1a
hex78151a4eacd0

132032031010000 has 150 divisors (see below), whose sum is σ = 351364844435066. Its totient is φ = 48011647200000.

The previous prime is 132032031009961. The next prime is 132032031010079. The reversal of 132032031010000 is 10130230231.

132032031010000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 88931387958336 + 43100643051664 = 9430344^2 + 6565108^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 53348691 + ... + 55768690.

Almost surely, 2132032031010000 is an apocalyptic number.

132032031010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132032031010000 is an abundant number, since it is smaller than the sum of its proper divisors (219332813425066).

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

132032031010000 is a wasteful number, since it uses less digits than its factorization.

132032031010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109117431 (or 109117399 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132032031010000 its reverse (10130230231), we get a palindrome (132042161240231).

The spelling of 132032031010000 in words is "one hundred thirty-two trillion, thirty-two billion, thirty-one million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 1210000 109117381 218234762 436469524 545586905 872939048 1091173810 1200291191 1745878096 2182347620 2400582382 2727934525 4364695240 4801164764 5455869050 6001455955 8729390480 9602329528 10911738100 12002911910 13203203101 13639672625 19204659056 21823476200 24005823820 26406406202 27279345250 30007279775 43646952400 48011647640 52812812404 54558690500 60014559550 66016015505 68198363125 96023295280 105625624808 109117381000 120029119100 132032031010 136396726250 150036398875 211251249616 218234762000 240058238200 264064062020 272793452500 300072797750 330080077525 480116476400 528128124040 545586905000 600145595500 660160155050 750181994375 1056256248080 1091173810000 1200291191000 1320320310100 1500363988750 1650400387625 2400582382000 2640640620200 3000727977500 3300800775250 5281281240400 6001455955000 6601601550500 8252001938125 12002911910000 13203203101000 16504003876250 26406406202000 33008007752500 66016015505000 132032031010000