Search a number
-
+
121340103040 = 27513174718253
BaseRepresentation
bin111000100000001101…
…1110000100110000000
3102121012101210220021101
41301000123300212000
53442001031244130
6131424243304144
711523630600232
oct1610033604600
9377171726241
10121340103040
11475073633a2
121b62467b054
13b599a23a50
145c31306252
1532529681ca
hex1c406f0980

121340103040 has 256 divisors, whose sum is σ = 337824587520. Its totient is φ = 41267625984.

The previous prime is 121340102977. The next prime is 121340103043. The reversal of 121340103040 is 40301043121.

It is a junction number, because it is equal to n+sod(n) for n = 121340102999 and 121340103017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121340103043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6638554 + ... + 6656806.

It is an arithmetic number, because the mean of its divisors is an integer number (1319627295).

Almost surely, 2121340103040 is an apocalyptic number.

121340103040 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 121340103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168912293760).

121340103040 is an abundant number, since it is smaller than the sum of its proper divisors (216484484480).

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

121340103040 is a wasteful number, since it uses less digits than its factorization.

121340103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18349 (or 18337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 121340103040 its reverse (40301043121), we get a palindrome (161641146161).

The spelling of 121340103040 in words is "one hundred twenty-one billion, three hundred forty million, one hundred three thousand, forty".