Search a number
-
+
103332121203300 = 2235211891259279451
BaseRepresentation
bin10111011111101011100010…
…011000001101001001100100
3111112212110021012020000202020
4113133223202120031021210
5102020443141012001200
61003434042100143140
730523333202065023
oct2737534230151144
9445773235200666
10103332121203300
112aa199a7613660
12b70a55a397ab0
13458723c46c702
141b73430ca08ba
15be2d8b650ea0
hex5dfae260d264

103332121203300 has 288 divisors, whose sum is σ = 330081548428800. Its totient is φ = 24748986240000.

The previous prime is 103332121203257. The next prime is 103332121203317. The reversal of 103332121203300 is 3302121233301.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 369628575 + ... + 369908025.

It is an arithmetic number, because the mean of its divisors is an integer number (1146116487600).

Almost surely, 2103332121203300 is an apocalyptic number.

103332121203300 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 103332121203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165040774214400).

103332121203300 is an abundant number, since it is smaller than the sum of its proper divisors (226749427225500).

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

103332121203300 is a wasteful number, since it uses less digits than its factorization.

103332121203300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280827 (or 280820 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 103332121203300 its reverse (3302121233301), we get a palindrome (106634242436601).

The spelling of 103332121203300 in words is "one hundred three trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred three thousand, three hundred".