Search a number
-
+
132110333020 = 225172154314813
BaseRepresentation
bin111101100001001100…
…0111011010001011100
3110121222222220021022001
41323002120323101130
54131030221124040
6140405102532044
712354550205521
oct1730230732134
9417888807261
10132110333020
1151033925606
122172b597024
13c5c516c9b3
146573885148
15368326c59a
hex1ec263b45c

132110333020 has 72 divisors (see below), whose sum is σ = 294922089504. Its totient is φ = 49700066304.

The previous prime is 132110333011. The next prime is 132110333021. The reversal of 132110333020 is 20333011231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132110333021) 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, 8911134 + ... + 8925946.

It is an arithmetic number, because the mean of its divisors is an integer number (4096140132).

Almost surely, 2132110333020 is an apocalyptic number.

132110333020 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 132110333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147461044752).

132110333020 is an abundant number, since it is smaller than the sum of its proper divisors (162811756484).

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

132110333020 is a wasteful number, since it uses less digits than its factorization.

132110333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16399 (or 16380 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 132110333020 its reverse (20333011231), we get a palindrome (152443344251).

It can be divided in two parts, 132110 and 333020, that added together give a triangular number (465130 = T964).

The spelling of 132110333020 in words is "one hundred thirty-two billion, one hundred ten million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 1543 2890 3086 5780 6172 7715 14813 15430 26231 29626 30860 52462 59252 74065 104924 131155 148130 251821 262310 296260 445927 503642 524620 891854 1007284 1259105 1783708 2229635 2518210 4280957 4459270 5036420 8561914 8918540 17123828 21404785 22856459 42809570 45712918 85619140 91425836 114282295 228564590 388559803 457129180 777119606 1554239212 1942799015 3885598030 6605516651 7771196060 13211033302 26422066604 33027583255 66055166510 132110333020