Search a number
-
+
132324134202 = 232131994396473
BaseRepresentation
bin111101100111100100…
…0100000110100111010
3110122112220012111101100
41323033020200310322
54131444434243302
6140442221232230
712363054403551
oct1731710406472
9418486174340
10132324134202
11511335845a7
122178b102676
13c62a549a80
14659401ad98
153696e00d1c
hex1ecf220d3a

132324134202 has 96 divisors (see below), whose sum is σ = 311062752000. Its totient is φ = 40411996416.

The previous prime is 132324134179. The next prime is 132324134213. The reversal of 132324134202 is 202431423231.

132324134202 is a `hidden beast` number, since 1 + 3 + 2 + 324 + 134 + 202 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 20439238 + ... + 20445710.

It is an arithmetic number, because the mean of its divisors is an integer number (3240237000).

Almost surely, 2132324134202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132324134202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155531376000).

132324134202 is an abundant number, since it is smaller than the sum of its proper divisors (178738617798).

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

132324134202 is a wasteful number, since it uses less digits than its factorization.

132324134202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7132 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 132324134202 its reverse (202431423231), we get a palindrome (334755557433).

The spelling of 132324134202 in words is "one hundred thirty-two billion, three hundred twenty-four million, one hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 199 234 398 439 597 878 1194 1317 1791 2587 2634 3582 3951 5174 5707 6473 7761 7902 11414 12946 15522 17121 19419 23283 34242 38838 46566 51363 58257 84149 87361 102726 116514 168298 174722 252447 262083 504894 524166 757341 786249 1135693 1288127 1514682 1572498 2271386 2576254 2841647 3407079 3864381 5683294 6814158 7728762 8524941 10221237 11593143 16745651 17049882 20442474 23186286 25574823 33491302 36941411 50236953 51149646 73882822 100473906 110824233 150710859 221648466 301421718 332472699 565487753 664945398 1130975506 1696463259 3392926518 5089389777 7351340789 10178779554 14702681578 22054022367 44108044734 66162067101 132324134202