Search a number
-
+
132133232220 = 2235112325134679
BaseRepresentation
bin111101100001111000…
…0010001111001011100
3110122001120222200002120
41323003300101321130
54131102101412340
6140411241422540
712355245641163
oct1730360217134
9418046880076
10132133232220
1151045846070
122173719aa50
13c5c9b29912
1465769263da
1536852924d0
hex1ec3c11e5c

132133232220 has 192 divisors, whose sum is σ = 422845194240. Its totient is φ = 30516640000.

The previous prime is 132133232219. The next prime is 132133232233. The reversal of 132133232220 is 22232331231.

It is a super-2 number, since 2×1321332322202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3792841 + ... + 3827519.

It is an arithmetic number, because the mean of its divisors is an integer number (2202318720).

Almost surely, 2132133232220 is an apocalyptic number.

132133232220 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 132133232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211422597120).

132133232220 is an abundant number, since it is smaller than the sum of its proper divisors (290711962020).

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

132133232220 is a wasteful number, since it uses less digits than its factorization.

132133232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34976 (or 34974 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 132133232220 its reverse (22232331231), we get a palindrome (154365563451).

The spelling of 132133232220 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred twenty".