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132201033200 = 24527919921023
BaseRepresentation
bin111101100011111001…
…0111010110111110000
3110122020022120022112222
41323013302322313300
54131221431030300
6140422102540212
712360031145525
oct1730762726760
9418208508488
10132201033200
1151080044a35
1221755a37668
13c60aba8542
14658193514c
15368b1d6785
hex1ec7cbadf0

132201033200 has 120 divisors (see below), whose sum is σ = 323265024000. Its totient is φ = 51946202880.

The previous prime is 132201033169. The next prime is 132201033277. The reversal of 132201033200 is 2330102231.

It is a super-2 number, since 2×1322010332002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6277889 + ... + 6298911.

It is an arithmetic number, because the mean of its divisors is an integer number (2693875200).

Almost surely, 2132201033200 is an apocalyptic number.

132201033200 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 132201033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161632512000).

132201033200 is an abundant number, since it is smaller than the sum of its proper divisors (191063990800).

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

132201033200 is a wasteful number, since it uses less digits than its factorization.

132201033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319 (or 21308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 132201033200 its reverse (2330102231), we get a palindrome (134531135431).

The spelling of 132201033200 in words is "one hundred thirty-two billion, two hundred one million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 199 200 316 395 398 400 632 790 796 995 1264 1580 1592 1975 1990 3160 3184 3950 3980 4975 6320 7900 7960 9950 15721 15800 15920 19900 21023 31442 31600 39800 42046 62884 78605 79600 84092 105115 125768 157210 168184 210230 251536 314420 336368 393025 420460 525575 628840 786050 840920 1051150 1257680 1572100 1660817 1681840 2102300 3144200 3321634 4183577 4204600 6288400 6643268 8304085 8367154 8409200 13286536 16608170 16734308 20917885 26573072 33216340 33468616 41520425 41835770 66432680 66937232 83040850 83671540 104589425 132865360 166081700 167343080 209178850 330502583 332163400 334686160 418357700 661005166 664326800 836715400 1322010332 1652512915 1673430800 2644020664 3305025830 5288041328 6610051660 8262564575 13220103320 16525129150 26440206640 33050258300 66100516600 132201033200