Search a number
-
+
132303113232 = 2434759993983
BaseRepresentation
bin111101100110111100…
…0010100110000010000
3110122111102122112000220
41323031320110300100
54131424044110412
6140440150513040
712362410623123
oct1731570246020
9418442575026
10132303113232
11511227271a4
1221784065780
13c626099a24
1465913083ba
15369514c68c
hex1ecde14c10

132303113232 has 80 divisors (see below), whose sum is σ = 354971566080. Its totient is φ = 42431103616.

The previous prime is 132303113227. The next prime is 132303113249. The reversal of 132303113232 is 232311303231.

It is a super-2 number, since 2×1323031132322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 363888 + ... + 630095.

It is an arithmetic number, because the mean of its divisors is an integer number (4437144576).

Almost surely, 2132303113232 is an apocalyptic number.

132303113232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132303113232 is an abundant number, since it is smaller than the sum of its proper divisors (222668452848).

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

132303113232 is a wasteful number, since it uses less digits than its factorization.

132303113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994100 (or 994094 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132303113232 its reverse (232311303231), we get a palindrome (364614416463).

The spelling of 132303113232 in words is "one hundred thirty-two billion, three hundred three million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 59 94 118 141 177 188 236 282 354 376 472 564 708 752 944 1128 1416 2256 2773 2832 5546 8319 11092 16638 22184 33276 44368 66552 133104 993983 1987966 2981949 3975932 5963898 7951864 11927796 15903728 23855592 46717201 47711184 58644997 93434402 117289994 140151603 175934991 186868804 234579988 280303206 351869982 373737608 469159976 560606412 703739964 747475216 938319952 1121212824 1407479928 2242425648 2756314859 2814959856 5512629718 8268944577 11025259436 16537889154 22050518872 33075778308 44101037744 66151556616 132303113232