Search a number
-
+
132303000000 = 2635644101
BaseRepresentation
bin111101100110111011…
…1111001000111000000
3110122111102102202201010
41323031313321013000
54131424032000000
6140440144240520
712362406642033
oct1731567710700
9418442382633
10132303000000
115112265a116
1221784010140
13c62605a322
1465912b901a
153695128d50
hex1ecddf91c0

132303000000 has 196 divisors, whose sum is σ = 437568930296. Its totient is φ = 35280000000.

The previous prime is 132302999971. The next prime is 132303000013. The reversal of 132303000000 is 303231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 132303000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2977950 + ... + 3022050.

Almost surely, 2132303000000 is an apocalyptic number.

132303000000 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 132303000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218784465148).

132303000000 is an abundant number, since it is smaller than the sum of its proper divisors (305265930296).

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

132303000000 is an frugal number, since it uses more digits than its factorization.

132303000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44146 (or 44111 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 132303000000 its reverse (303231), we get a palindrome (132303303231).

The spelling of 132303000000 in words is "one hundred thirty-two billion, three hundred three million", and thus it is an aban number.