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132121200300 = 2235241103104287
BaseRepresentation
bin111101100001100001…
…0011000011010101100
3110122000202100101101220
41323003002120122230
54131041011402200
6140410131503340
712355041446535
oct1730302303254
9418022311356
10132121200300
1151039a78331
1221733157b50
13c5c74a623b
1465750b368c
1536841b74a0
hex1ec30986ac

132121200300 has 144 divisors (see below), whose sum is σ = 395400026112. Its totient is φ = 34038950400.

The previous prime is 132121200283. The next prime is 132121200301. The reversal of 132121200300 is 3002121231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132121200300.

It is not an unprimeable number, because it can be changed into a prime (132121200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1214757 + ... + 1319043.

Almost surely, 2132121200300 is an apocalyptic number.

132121200300 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 132121200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197700013056).

132121200300 is an abundant number, since it is smaller than the sum of its proper divisors (263278825812).

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

132121200300 is a wasteful number, since it uses less digits than its factorization.

132121200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104448 (or 104441 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132121200300 its reverse (3002121231), we get a palindrome (135123321531).

The spelling of 132121200300 in words is "one hundred thirty-two billion, one hundred twenty-one million, two hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 103 123 150 164 205 206 246 300 309 410 412 492 515 615 618 820 1025 1030 1230 1236 1545 2050 2060 2460 2575 3075 3090 4100 4223 5150 6150 6180 7725 8446 10300 12300 12669 15450 16892 21115 25338 30900 42230 50676 63345 84460 104287 105575 126690 208574 211150 253380 312861 316725 417148 422300 521435 625722 633450 1042870 1251444 1266900 1564305 2085740 2607175 3128610 4275767 5214350 6257220 7821525 8551534 10428700 10741561 12827301 15643050 17103068 21378835 21483122 25654602 31286100 32224683 42757670 42966244 51309204 53707805 64136505 64449366 85515340 106894175 107415610 128273010 128898732 161123415 213788350 214831220 256546020 268539025 320682525 322246830 427576700 440404001 537078050 641365050 644493660 805617075 880808002 1074156100 1282730100 1321212003 1611234150 1761616004 2202020005 2642424006 3222468300 4404040010 5284848012 6606060015 8808080020 11010100025 13212120030 22020200050 26424240060 33030300075 44040400100 66060600150 132121200300