Search a number
-
+
132222002030100 = 223352172880653639
BaseRepresentation
bin11110000100000101010101…
…011101100110011000010100
3122100011022002122211202111000
4132010011111131212120110
5114312311130004430400
61145113541004543300
736564503320266063
oct3604052535463024
9570138078752430
10132222002030100
1139148044142064
12129b5614b51b30
1358a163451b738
142491816c7c1da
1510445e73ca600
hex784155766614

132222002030100 has 144 divisors (see below), whose sum is σ = 450073324713600. Its totient is φ = 33185129909760.

The previous prime is 132222002030051. The next prime is 132222002030141. The reversal of 132222002030100 is 1030200222231.

132222002030100 is a `hidden beast` number, since 1 + 322 + 2 + 20 + 0 + 20 + 301 + 0 + 0 = 666.

132222002030100 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440280920 + ... + 1440372719.

It is an arithmetic number, because the mean of its divisors is an integer number (3125509199400).

Almost surely, 2132222002030100 is an apocalyptic number.

132222002030100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132222002030100 is an abundant number, since it is smaller than the sum of its proper divisors (317851322683500).

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

132222002030100 is a wasteful number, since it uses less digits than its factorization.

132222002030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880653679 (or 2880653666 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132222002030100 its reverse (1030200222231), we get a palindrome (133252202252331).

The spelling of 132222002030100 in words is "one hundred thirty-two trillion, two hundred twenty-two billion, two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 900 918 1020 1275 1350 1530 1700 1836 2295 2550 2700 3060 3825 4590 5100 7650 9180 11475 15300 22950 45900 2880653639 5761307278 8641960917 11522614556 14403268195 17283921834 25925882751 28806536390 34567843668 43209804585 48971111863 51851765502 57613072780 72016340975 77777648253 86419609170 97942223726 103703531004 129629413755 144032681950 146913335589 155555296506 172839218340 195884447452 216049022925 244855559315 259258827510 288065363900 293826671178 311110593012 388888241265 432098045850 440740006767 489711118630 518517655020 587653342356 648147068775 734566677945 777776482530 864196091700 881480013534 979422237260 1224277796575 1296294137550 1322220020301 1469133355890 1555552965060 1762960027068 1944441206325 2203700033835 2448555593150 2592588275100 2644440040602 2938266711780 3672833389725 3888882412650 4407400067670 4897111186300 5288880081204 6611100101505 7345666779450 7777764825300 8814800135340 11018500169175 13222200203010 14691333558900 22037000338350 26444400406020 33055500507525 44074000676700 66111001015050 132222002030100