Search a number
-
+
100332320000 = 285411109523
BaseRepresentation
bin101110101110001000…
…1011011010100000000
3100120222022221221120212
41131130101123110000
53120440033220000
6114031513453252
710151220435323
oct1353421332400
9316868857525
10100332320000
1139606a85030
1217541111228
1395cc6154b3
144bdb2487ba
1529234cec35
hex175c45b500

100332320000 has 360 divisors, whose sum is σ = 276043262880. Its totient is φ = 36080640000.

The previous prime is 100332319987. The next prime is 100332320003. The reversal of 100332320000 is 23233001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332320003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191839739 + ... + 191840261.

Almost surely, 2100332320000 is an apocalyptic number.

100332320000 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 100332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138021631440).

100332320000 is an abundant number, since it is smaller than the sum of its proper divisors (175710942880).

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

100332320000 is an equidigital number, since it uses as much as digits as its factorization.

100332320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 100332320000 its reverse (23233001), we get a palindrome (100355553001).

The spelling of 100332320000 in words is "one hundred billion, three hundred thirty-two million, three hundred twenty thousand".