Search a number
-
+
10132232320 = 275723107919
BaseRepresentation
bin10010110111110110…
…11001100010000000
3222011010120201202201
421123323121202000
5131222322413240
64353224522544
7506041360630
oct113373314200
928133521681
1010132232320
11432a421121
121b69320454
13c56208052
146c19446c0
153e47ccd9a
hex25bed9880

10132232320 has 256 divisors, whose sum is σ = 29187993600. Its totient is φ = 3288231936.

The previous prime is 10132232311. The next prime is 10132232321. The reversal of 10132232320 is 2323223101.

It is not an unprimeable number, because it can be changed into a prime (10132232321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11024821 + ... + 11025739.

It is an arithmetic number, because the mean of its divisors is an integer number (114015600).

Almost surely, 210132232320 is an apocalyptic number.

10132232320 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 10132232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593996800).

10132232320 is an abundant number, since it is smaller than the sum of its proper divisors (19055761280).

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

10132232320 is a wasteful number, since it uses less digits than its factorization.

10132232320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10132232320 its reverse (2323223101), we get a palindrome (12455455421).

The spelling of 10132232320 in words is "ten billion, one hundred thirty-two million, two hundred thirty-two thousand, three hundred twenty".