Search a number
-
+
2311411410420 = 22357371283115931
BaseRepresentation
bin100001101000101010110…
…110110010010111110100
322011222011020100120221120
4201220222312302113310
5300332232310113140
64525503040143540
7325664633550510
oct41505266622764
98158136316846
102311411410420
1181129a534692
12313b73007bb0
13139c715c5728
147dc31397140
15401d23e51d0
hex21a2adb25f4

2311411410420 has 192 divisors, whose sum is σ = 7602408769536. Its totient is φ = 513638530560.

The previous prime is 2311411410359. The next prime is 2311411410421. The reversal of 2311411410420 is 240141141132.

It is a happy number.

2311411410420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311411410421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19879855 + ... + 19995785.

It is an arithmetic number, because the mean of its divisors is an integer number (39595879008).

Almost surely, 22311411410420 is an apocalyptic number.

2311411410420 is a gapful number since it is divisible by the number (20) 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 2311411410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3801204384768).

2311411410420 is an abundant number, since it is smaller than the sum of its proper divisors (5290997359116).

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

2311411410420 is a wasteful number, since it uses less digits than its factorization.

2311411410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117270 (or 117268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 2311411410420 its reverse (240141141132), we get a palindrome (2551552551552).

The spelling of 2311411410420 in words is "two trillion, three hundred eleven billion, four hundred eleven million, four hundred ten thousand, four hundred twenty".