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132230021002200 = 233252116678283889
BaseRepresentation
bin11110000100001100110011…
…011011100011001111011000
3122100012001210111221202012200
4132010030303123203033120
5114312424040334032300
61145121344423210200
736565206121364352
oct3604146333431730
9570161714852180
10132230021002200
1139150489698530
12129b70925a6960
1358a2311975144
142491d77c840d2
1510449163c2200
hex7843336e33d8

132230021002200 has 144 divisors (see below), whose sum is σ = 484442713380600. Its totient is φ = 32055762662400.

The previous prime is 132230021002193. The next prime is 132230021002201. The reversal of 132230021002200 is 2200120032231.

132230021002200 is a `hidden beast` number, since 1 + 3 + 2 + 230 + 0 + 210 + 0 + 220 + 0 = 666.

132230021002200 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 not an unprimeable number, because it can be changed into a prime (132230021002201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3339122145 + ... + 3339161744.

Almost surely, 2132230021002200 is an apocalyptic number.

132230021002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132230021002200 is an abundant number, since it is smaller than the sum of its proper divisors (352212692378400).

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

132230021002200 is a wasteful number, since it uses less digits than its factorization.

132230021002200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678283922 (or 6678283910 counting only the distinct ones).

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

Adding to 132230021002200 its reverse (2200120032231), we get a palindrome (134430141034431).

The spelling of 132230021002200 in words is "one hundred thirty-two trillion, two hundred thirty billion, twenty-one million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 6678283889 13356567778 20034851667 26713135556 33391419445 40069703334 53426271112 60104555001 66782838890 73461122779 80139406668 100174258335 120209110002 133565677780 146922245558 160278813336 166957097225 200348516670 220383368337 240418220004 267131355560 293844491116 300522775005 333914194450 367305613895 400697033340 440766736674 480836440008 500871291675 587688982232 601045550010 661150105011 667828388900 734611227790 801394066680 881533473348 1001742583350 1101916841685 1202091100020 1322300210022 1335656777800 1469222455580 1502613875025 1763066946696 1836528069475 2003485166700 2203833683370 2404182200040 2644600420044 2938444911160 3005227750050 3305750525055 3673056138950 4006970333400 4407667366740 5289200840088 5509584208425 6010455500100 6611501050110 7346112277900 8815334733480 11019168416850 12020911000200 13223002100220 14692224555800 16528752625275 22038336833700 26446004200440 33057505250550 44076673667400 66115010501100 132230021002200