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132043513032 = 233211334746771
BaseRepresentation
bin111101011111001101…
…0000001110011001000
3110121211100011110111200
41322332122001303020
54130411114404112
6140354314424200
712353106225204
oct1727632016310
9417740143450
10132043513032
1150aaa136782
1221711132060
13c5b4375742
146568a4db04
15367c46dcdc
hex1ebe681cc8

132043513032 has 96 divisors (see below), whose sum is σ = 361830062880. Its totient is φ = 43498344960.

The previous prime is 132043512977. The next prime is 132043513037. The reversal of 132043513032 is 230315340231.

132043513032 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 4 + 351 + 303 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132043512987 and 132043513005.

It is not an unprimeable number, because it can be changed into a prime (132043513037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799807 + ... + 2846577.

It is an arithmetic number, because the mean of its divisors is an integer number (3769063155).

Almost surely, 2132043513032 is an apocalyptic number.

132043513032 is a gapful number since it is divisible by the number (12) 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 132043513032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180915031440).

132043513032 is an abundant number, since it is smaller than the sum of its proper divisors (229786549848).

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

132043513032 is a wasteful number, since it uses less digits than its factorization.

132043513032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47243 (or 47236 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 132043513032 its reverse (230315340231), we get a palindrome (362358853263).

The spelling of 132043513032 in words is "one hundred thirty-two billion, forty-three million, five hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 347 452 678 694 904 1017 1041 1356 1388 2034 2082 2712 2776 3123 4068 4164 6246 8136 8328 12492 24984 39211 46771 78422 93542 117633 140313 156844 187084 235266 280626 313688 352899 374168 420939 470532 561252 705798 841878 941064 1122504 1411596 1683756 2823192 3367512 5285123 10570246 15855369 16229537 21140492 31710738 32459074 42280984 47566107 48688611 63421476 64918148 95132214 97377222 126842952 129836296 146065833 190264428 194754444 292131666 380528856 389508888 584263332 1168526664 1833937681 3667875362 5501813043 7335750724 11003626086 14671501448 16505439129 22007252172 33010878258 44014504344 66021756516 132043513032