Search a number
-
+
132322101000 = 23353173770123
BaseRepresentation
bin111101100111100000…
…0110000011100001000
3110122112202101012100120
41323033000300130020
54131443424213000
6140442105503240
712363031205055
oct1731700603410
9418482335316
10132322101000
1151132415a71
122178a4a1b20
13c629cb74ab
146593a4c02c
153696b4d6a0
hex1ecf030708

132322101000 has 256 divisors, whose sum is σ = 448950677760. Its totient is φ = 32312217600.

The previous prime is 132322100971. The next prime is 132322101049. The reversal of 132322101000 is 101223231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851939 + ... + 1922061.

It is an arithmetic number, because the mean of its divisors is an integer number (1753713585).

Almost surely, 2132322101000 is an apocalyptic number.

132322101000 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 132322101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224475338880).

132322101000 is an abundant number, since it is smaller than the sum of its proper divisors (316628576760).

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

132322101000 is a wasteful number, since it uses less digits than its factorization.

132322101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70201 (or 70187 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132322101000 its reverse (101223231), we get a palindrome (132423324231).

The spelling of 132322101000 in words is "one hundred thirty-two billion, three hundred twenty-two million, one hundred one thousand".