Search a number
-
+
132322000032200 = 235211210154137141
BaseRepresentation
bin11110000101100010011101…
…110011101101000111001000
3122100111212012200201121010102
4132011202131303231013020
5114320430424002012300
61145231515421104532
736604643341263566
oct3605423563550710
9570455180647112
10132322000032200
1139186499433100
1212a10a820b8148
1358aabac7ab994
1424965c193ca36
151046eeb36d0d5
hex78589dced1c8

132322000032200 has 144 divisors (see below), whose sum is σ = 341507377792980. Its totient is φ = 47640683200000.

The previous prime is 132322000032199. The next prime is 132322000032203. The reversal of 132322000032200 is 2230000223231.

It can be written as a sum of positive squares in 6 ways, for example, as 41770446556036 + 90551553476164 = 6463006^2 + 9515858^2 .

It is a super-2 number, since 2×1323220000322002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (132322000032203) 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, 24624371 + ... + 29512770.

Almost surely, 2132322000032200 is an apocalyptic number.

132322000032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132322000032200 is an abundant number, since it is smaller than the sum of its proper divisors (209185377760780).

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

132322000032200 is a wasteful number, since it uses less digits than its factorization.

132322000032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54137280 (or 54137260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 132322000032200 its reverse (2230000223231), we get a palindrome (134552000255431).

The spelling of 132322000032200 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 121 200 202 220 242 275 404 440 484 505 550 605 808 968 1010 1100 1111 1210 2020 2200 2222 2420 2525 3025 4040 4444 4840 5050 5555 6050 8888 10100 11110 12100 12221 20200 22220 24200 24442 27775 44440 48884 55550 61105 97768 111100 122210 222200 244420 305525 488840 611050 1222100 2444200 54137141 108274282 216548564 270685705 433097128 541371410 595508551 1082742820 1191017102 1353428525 2165485640 2382034204 2706857050 2977542755 4764068408 5413714100 5467851241 5955085510 6550594061 10827428200 10935702482 11910171020 13101188122 14887713775 21871404964 23820342040 26202376244 27339256205 29775427550 32752970305 43742809928 52404752488 54678512410 59550855100 60146363651 65505940610 109357024820 119101710200 120292727302 131011881220 136696281025 163764851525 218714049640 240585454604 262023762440 273392562050 300731818255 327529703050 481170909208 546785124100 601463636510 655059406100 661610000161 1093570248200 1202927273020 1310118812200 1323220000322 1503659091275 2405854546040 2646440000644 3007318182550 3308050000805 5292880001288 6014636365100 6616100001610 12029272730200 13232200003220 16540250004025 26464400006440 33080500008050 66161000016100 132322000032200