Search a number
-
+
1303220231200 = 2552171132114019
BaseRepresentation
bin10010111101101101111…
…110101001110000100000
311121120211122210010222101
4102331231332221300200
5132322443334344300
62434405140220144
7163104004122466
oct22755576516040
94546748703871
101303220231200
11462768933598
121906a599a654
1395b7c2ca6a4
144710d11c836
1523d769bcb6a
hex12f6dfa9c20

1303220231200 has 288 divisors, whose sum is σ = 3415399525440. Its totient is φ = 483857203200.

The previous prime is 1303220231189. The next prime is 1303220231233. The reversal of 1303220231200 is 21320223031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324262791 + ... + 324266809.

It is an arithmetic number, because the mean of its divisors is an integer number (11859026130).

Almost surely, 21303220231200 is an apocalyptic number.

1303220231200 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 1303220231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707699762720).

1303220231200 is an abundant number, since it is smaller than the sum of its proper divisors (2112179294240).

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

1303220231200 is a wasteful number, since it uses less digits than its factorization.

1303220231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4380 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 1303220231200 its reverse (21320223031), we get a palindrome (1324540454231).

The spelling of 1303220231200 in words is "one trillion, three hundred three billion, two hundred twenty million, two hundred thirty-one thousand, two hundred".