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32133323211330 = 23511434435111749
BaseRepresentation
bin1110100111001100111110…
…10100001100001001000010
311012202220201112200111000010
413103212133110030021002
513202433021220230310
6152201502255205350
76524361463446345
oct723463724141102
9135686645614003
1032133323211330
11a269736269910
12372b7a0b16856
1314c120c1c6483
147d139280445c
153aacdc755320
hex1d399f50c242

32133323211330 has 128 divisors (see below), whose sum is σ = 86281759872000. Its totient is φ = 7591559189760.

The previous prime is 32133323211329. The next prime is 32133323211349. The reversal of 32133323211330 is 3311232333123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 3730296 + ... + 8842044.

It is an arithmetic number, because the mean of its divisors is an integer number (674076249000).

Almost surely, 232133323211330 is an apocalyptic number.

32133323211330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133323211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43140879936000).

32133323211330 is an abundant number, since it is smaller than the sum of its proper divisors (54148436660670).

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

32133323211330 is a wasteful number, since it uses less digits than its factorization.

32133323211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5112256.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 32133323211330 its reverse (3311232333123), we get a palindrome (35444555544453).

The spelling of 32133323211330 in words is "thirty-two trillion, one hundred thirty-three billion, three hundred twenty-three million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 443 473 645 886 946 1290 1329 1419 2215 2365 2658 2838 4430 4730 4873 6645 7095 9746 13290 14190 14619 19049 24365 29238 38098 48730 57147 73095 95245 114294 146190 190490 209539 285735 419078 571470 628617 1047695 1257234 2095390 3143085 5111749 6286170 10223498 15335247 25558745 30670494 51117490 56229239 76676235 112458478 153352470 168687717 219805207 281146195 337375434 439610414 562292390 659415621 843438585 1099026035 1318831242 1686877170 2198052070 2264504807 2417857277 3297078105 4529009614 4835714554 6594156210 6793514421 7253571831 11322524035 12089286385 13587028842 14507143662 22645048070 24178572770 24909552877 33967572105 36267859155 49819105754 67935144210 72535718310 74728658631 97373706701 124547764385 149457317262 194747413402 249095528770 292121120103 373643293155 486868533505 584242240206 747286586310 973737067010 1071110773711 1460605600515 2142221547422 2921211201030 3213332321133 5355553868555 6426664642266 10711107737110 16066661605665 32133323211330