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103032344000 = 2653314110133
BaseRepresentation
bin101111111110100110…
…1001100110111000000
3100211221111112101012202
41133331031030313000
53142002240002000
6115155444412332
710305144321365
oct1377515146700
9324844471182
10103032344000
113a772088023
1217b753a70a8
13993cb09b31
144db5a8646c
152a3056bdd5
hex17fd34cdc0

103032344000 has 224 divisors, whose sum is σ = 269841341952. Its totient is φ = 38906880000.

The previous prime is 103032343991. The next prime is 103032344003. The reversal of 103032344000 is 443230301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103032344003) 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, 10162934 + ... + 10173066.

It is an arithmetic number, because the mean of its divisors is an integer number (1204648848).

Almost surely, 2103032344000 is an apocalyptic number.

103032344000 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 103032344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134920670976).

103032344000 is an abundant number, since it is smaller than the sum of its proper divisors (166808997952).

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

103032344000 is a wasteful number, since it uses less digits than its factorization.

103032344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10232 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 103032344000 its reverse (443230301), we get a palindrome (103475574301).

The spelling of 103032344000 in words is "one hundred three billion, thirty-two million, three hundred forty-four thousand".