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133232231200 = 25521049158761
BaseRepresentation
bin111110000010101000…
…0101000001100100000
3110201220011221121021111
41330011100220030200
54140324422344300
6141112301033104
712424422164635
oct1740520501440
9421804847244
10133232231200
115155a137292
12219a3255794
13c743719a83
14663c88418c
1536eb9cb9ba
hex1f05428320

133232231200 has 72 divisors (see below), whose sum is σ = 325565295300. Its totient is φ = 53241753600.

The previous prime is 133232231191. The next prime is 133232231221. The reversal of 133232231200 is 2132232331.

It can be written as a sum of positive squares in 6 ways, for example, as 44330460304 + 88901770896 = 210548^2 + 298164^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 759820 + ... + 918580.

Almost surely, 2133232231200 is an apocalyptic number.

133232231200 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 133232231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162782647650).

133232231200 is an abundant number, since it is smaller than the sum of its proper divisors (192333064100).

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

133232231200 is a wasteful number, since it uses less digits than its factorization.

133232231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159830 (or 159817 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 133232231200 its reverse (2132232331), we get a palindrome (135364463531).

The spelling of 133232231200 in words is "one hundred thirty-three billion, two hundred thirty-two million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1049 2098 4196 5245 8392 10490 16784 20980 26225 33568 41960 52450 83920 104900 158761 167840 209800 317522 419600 635044 793805 839200 1270088 1587610 2540176 3175220 3969025 5080352 6350440 7938050 12700880 15876100 25401760 31752200 63504400 127008800 166540289 333080578 666161156 832701445 1332322312 1665402890 2664644624 3330805780 4163507225 5329289248 6661611560 8327014450 13323223120 16654028900 26646446240 33308057800 66616115600 133232231200