Search a number
-
+
132353300000 = 25551323533
BaseRepresentation
bin111101101000011011…
…1110001011000100000
3110122121221002021100002
41323100313301120200
54132024421100000
6140445142315132
712363560326205
oct1732067613040
9418557067302
10132353300000
1151148a95269
1221798a28aa8
13c6335bc13c
146597c4dcac
1536997628d5
hex1ed0df1620

132353300000 has 72 divisors (see below), whose sum is σ = 325692599652. Its totient is φ = 52941280000.

The previous prime is 132353299993. The next prime is 132353300017. The reversal of 132353300000 is 3353231.

132353300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 36022521616 + 96330778384 = 189796^2 + 310372^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561767 + ... + 761766.

Almost surely, 2132353300000 is an apocalyptic number.

132353300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132353300000 is an abundant number, since it is smaller than the sum of its proper divisors (193339299652).

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

132353300000 is an frugal number, since it uses more digits than its factorization.

132353300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323568 (or 1323540 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 132353300000 its reverse (3353231), we get a palindrome (132356653231).

The spelling of 132353300000 in words is "one hundred thirty-two billion, three hundred fifty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 1323533 2647066 5294132 6617665 10588264 13235330 21176528 26470660 33088325 42353056 52941320 66176650 105882640 132353300 165441625 211765280 264706600 330883250 529413200 661766500 827208125 1058826400 1323533000 1654416250 2647066000 3308832500 4136040625 5294132000 6617665000 8272081250 13235330000 16544162500 26470660000 33088325000 66176650000 132353300000