Search a number
-
+
2123203200300 = 223252713172695669
BaseRepresentation
bin11110111001011000110…
…001011100010100101100
321111222100200101220012200
4132321120301130110230
5234241310004402200
64303215221101500
7306252645266610
oct36713061342454
97458320356180
102123203200300
11749499944786
122a35a8557890
131252a926ab20
1474a993b5340
153a3692b4800
hex1ee58c5c52c

2123203200300 has 864 divisors, whose sum is σ = 8706436502400. Its totient is φ = 419979755520.

The previous prime is 2123203200281. The next prime is 2123203200383. The reversal of 2123203200300 is 30023023212.

It is a happy number.

2123203200300 is a `hidden beast` number, since 2 + 1 + 23 + 20 + 320 + 0 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 374525866 + ... + 374531534.

It is an arithmetic number, because the mean of its divisors is an integer number (10076894100).

Almost surely, 22123203200300 is an apocalyptic number.

2123203200300 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 2123203200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4353218251200).

2123203200300 is an abundant number, since it is smaller than the sum of its proper divisors (6583233302100).

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

2123203200300 is a wasteful number, since it uses less digits than its factorization.

2123203200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5995 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2123203200300 its reverse (30023023212), we get a palindrome (2153226223512).

The spelling of 2123203200300 in words is "two trillion, one hundred twenty-three billion, two hundred three million, two hundred thousand, three hundred".