Search a number
-
+
135122050000 = 245571572459
BaseRepresentation
bin111110111010111100…
…1101101101111010000
3110220202212222100022101
41331311321231233100
54203212221100000
6142024010250144
712522310321510
oct1756571555720
9426685870271
10135122050000
1152339969103
1222230126954
13c9850c7452
14677b85b840
1537ac877e6a
hex1f75e6dbd0

135122050000 has 240 divisors, whose sum is σ = 376509651840. Its totient is φ = 46013760000.

The previous prime is 135122049971. The next prime is 135122050001. The reversal of 135122050000 is 50221531.

It is a self number, because there is not a number n which added to its sum of digits gives 135122050000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135122050001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54948771 + ... + 54951229.

It is an arithmetic number, because the mean of its divisors is an integer number (1568790216).

Almost surely, 2135122050000 is an apocalyptic number.

135122050000 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 135122050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188254825920).

135122050000 is an abundant number, since it is smaller than the sum of its proper divisors (241387601840).

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

135122050000 is an equidigital number, since it uses as much as digits as its factorization.

135122050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 135122050000 its reverse (50221531), we get a palindrome (135172271531).

The spelling of 135122050000 in words is "one hundred thirty-five billion, one hundred twenty-two million, fifty thousand".