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132044321213200 = 245211229713064899
BaseRepresentation
bin11110000001011111110110…
…110111000100101100010000
3122022112022110210001001100201
4132001133312313010230100
5114301403232212310300
61144500153532224544
736545613242254534
oct3601376667045420
9568468423031321
10132044321213200
1139089755a33530
12129870a800b154
13588a9592079a6
142486d9d0a5bc4
15103eb985d266a
hex7817f6dc4b10

132044321213200 has 120 divisors (see below), whose sum is σ = 346226852786400. Its totient is φ = 47995209292800.

The previous prime is 132044321213179. The next prime is 132044321213209. The reversal of 132044321213200 is 2312123440231.

It is not an unprimeable number, because it can be changed into a prime (132044321213209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3574351 + ... + 16639249.

It is an arithmetic number, because the mean of its divisors is an integer number (2885223773220).

Almost surely, 2132044321213200 is an apocalyptic number.

132044321213200 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 132044321213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173113426393200).

132044321213200 is an abundant number, since it is smaller than the sum of its proper divisors (214182531573200).

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

132044321213200 is a wasteful number, since it uses less digits than its factorization.

132044321213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13067225 (or 13067214 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 132044321213200 its reverse (2312123440231), we get a palindrome (134356444653431).

The spelling of 132044321213200 in words is "one hundred thirty-two trillion, forty-four billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 2297 4400 4594 9188 11485 18376 22970 25267 36752 45940 50534 57425 91880 101068 114850 126335 183760 202136 229700 252670 404272 459400 505340 631675 918800 1010680 1263350 2021360 2526700 5053400 10106800 13064899 26129798 52259596 65324495 104519192 130648990 143713889 209038384 261297980 287427778 326622475 522595960 574855556 653244950 718569445 1045191920 1149711112 1306489900 1437138890 2299422224 2612979800 2874277780 3592847225 5225959600 5748555560 7185694450 11497111120 14371388900 28742777800 30010073003 57485555600 60020146006 120040292012 150050365015 240080584024 300100730030 330110803033 480161168048 600201460060 660221606066 750251825075 1200402920120 1320443212132 1500503650150 1650554015165 2400805840240 2640886424264 3001007300300 3301108030330 5281772848528 6002014600600 6602216060660 8252770075825 12004029201200 13204432121320 16505540151650 26408864242640 33011080303300 66022160606600 132044321213200