Base | Representation |
---|---|
bin | 110000000111100010… |
… | …1011100010101011000 |
3 | 100212201101221201122200 |
4 | 1200033011130111120 |
5 | 3143111032100440 |
6 | 115245321450200 |
7 | 10315446026130 |
oct | 1401705342530 |
9 | 325641851580 |
10 | 103332300120 |
11 | 3a906431545 |
12 | 18039940960 |
13 | 9989cc096a |
14 | 5003847ac0 |
15 | 2a4ba6cc30 |
hex | 180f15c558 |
103332300120 has 384 divisors, whose sum is σ = 395486582400. Its totient is φ = 22910164992.
The previous prime is 103332300107. The next prime is 103332300143. The reversal of 103332300120 is 21003233301.
103332300120 is a `hidden beast` number, since 10 + 3 + 332 + 300 + 1 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 103332300093 and 103332300102.
It is a congruent number.
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, 11882494 + ... + 11891186.
It is an arithmetic number, because the mean of its divisors is an integer number (1029912975).
Almost surely, 2103332300120 is an apocalyptic number.
103332300120 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 103332300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197743291200).
103332300120 is an abundant number, since it is smaller than the sum of its proper divisors (292154282280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103332300120 is a wasteful number, since it uses less digits than its factorization.
103332300120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8859 (or 8852 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 103332300120 its reverse (21003233301), we get a palindrome (124335533421).
The spelling of 103332300120 in words is "one hundred three billion, three hundred thirty-two million, three hundred thousand, one hundred twenty".
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