Search a number
-
+
2124073050000 = 243551153107227
BaseRepresentation
bin11110111010001100100…
…111101001111110010000
321112001121022011211200020
4132322030213221332100
5234300100200100000
64303441413023440
7306313340012556
oct36721447517620
97461538154606
102124073050000
117498a5953730
122a37ab924b80
131253b7538ca5
1474b3cb23bd6
153a3ba837ba0
hex1ee8c9e9f90

2124073050000 has 960 divisors, whose sum is σ = 7728363353088. Its totient is φ = 498284800000.

The previous prime is 2124073049977. The next prime is 2124073050023. The reversal of 2124073050000 is 503704212.

It is an interprime number because it is at equal distance from previous prime (2124073049977) and next prime (2124073050023).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9357149887 + ... + 9357150113.

Almost surely, 22124073050000 is an apocalyptic number.

2124073050000 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 2124073050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864181676544).

2124073050000 is an abundant number, since it is smaller than the sum of its proper divisors (5604290303088).

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

2124073050000 is a wasteful number, since it uses less digits than its factorization.

2124073050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 2124073050000 its reverse (503704212), we get a palindrome (2124576754212).

The spelling of 2124073050000 in words is "two trillion, one hundred twenty-four billion, seventy-three million, fifty thousand".