Search a number
-
+
103320111211000 = 2353798338940507
BaseRepresentation
bin10111011111100000010110…
…100001101110000111111000
3111112211022021012022012112121
4113133200112201232013320
5102020244041432223000
61003424334232251024
730522426446613145
oct2737402641560770
9445738235265477
10103320111211000
112aa148a4257692
12b708168240a74
1345860772199a8
141b72a11c013cc
15be28d70a9b1a
hex5df81686e1f8

103320111211000 has 256 divisors, whose sum is σ = 248422277376000. Its totient is φ = 40208653555200.

The previous prime is 103320111210961. The next prime is 103320111211027. The reversal of 103320111211000 is 112111023301.

It is a happy number.

It is a congruent number.

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, 2550652747 + ... + 2550693253.

It is an arithmetic number, because the mean of its divisors is an integer number (970399521000).

Almost surely, 2103320111211000 is an apocalyptic number.

103320111211000 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 103320111211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124211138688000).

103320111211000 is an abundant number, since it is smaller than the sum of its proper divisors (145102166165000).

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

103320111211000 is a wasteful number, since it uses less digits than its factorization.

103320111211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41079 (or 41065 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103320111211000 its reverse (112111023301), we get a palindrome (103432222234301).

The spelling of 103320111211000 in words is "one hundred three trillion, three hundred twenty billion, one hundred eleven million, two hundred eleven thousand".