Search a number
-
+
2124034341000 = 2335311139715099
BaseRepresentation
bin11110111010001010010…
…011111111100010001000
321112001111121100012220120
4132322022103333202020
5234300010242403000
64303433511223240
7306312360002415
oct36721223774210
97461447305816
102124034341000
11749886015020
122a379a977b20
131253ac504c60
1474b3792910c
153a3b723d6a0
hex1ee8a4ff888

2124034341000 has 512 divisors, whose sum is σ = 7795097856000. Its totient is φ = 474725760000.

The previous prime is 2124034340971. The next prime is 2124034341001. The reversal of 2124034341000 is 1434304212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2124034341001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 416556451 + ... + 416561549.

It is an arithmetic number, because the mean of its divisors is an integer number (15224800500).

Almost surely, 22124034341000 is an apocalyptic number.

2124034341000 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 2124034341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897548928000).

2124034341000 is an abundant number, since it is smaller than the sum of its proper divisors (5671063515000).

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

2124034341000 is a wasteful number, since it uses less digits than its factorization.

2124034341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2124034341000 its reverse (1434304212), we get a palindrome (2125468645212).

The spelling of 2124034341000 in words is "two trillion, one hundred twenty-four billion, thirty-four million, three hundred forty-one thousand".