Search a number
-
+
132003124110 = 2325112131575939
BaseRepresentation
bin111101011101111111…
…1111101001110001110
3110121201112011111022200
41322323333331032032
54130320244432420
6140350313022330
712352106020224
oct1727377751616
9417645144280
10132003124110
1150a8935aa00
12216bb6b49a6
13c5a8ba3b80
146563538b14
153678b41b90
hex1ebbffd38e

132003124110 has 288 divisors, whose sum is σ = 408920672160. Its totient is φ = 29346071040.

The previous prime is 132003124109. The next prime is 132003124117. The reversal of 132003124110 is 11421300231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003124117) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22223521 + ... + 22229459.

It is an arithmetic number, because the mean of its divisors is an integer number (1419863445).

Almost surely, 2132003124110 is an apocalyptic number.

132003124110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132003124110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204460336080).

132003124110 is an abundant number, since it is smaller than the sum of its proper divisors (276917548050).

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

132003124110 is a wasteful number, since it uses less digits than its factorization.

132003124110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132003124110 its reverse (11421300231), we get a palindrome (143424424341).

The spelling of 132003124110 in words is "one hundred thirty-two billion, three million, one hundred twenty-four thousand, one hundred ten".