Search a number
-
+
1300312221120 = 2632511311324039
BaseRepresentation
bin10010111011000000101…
…001011110010111000000
311121022022222211221002100
4102323000221132113000
5132301014412033440
62433204415350400
7162641643341133
oct22730051362700
94538288757070
101300312221120
11461506393580
12190013b22400
13958079b3a73
1446d14c2021a
1523c5654a230
hex12ec0a5e5c0

1300312221120 has 336 divisors, whose sum is σ = 5036521052160. Its totient is φ = 305058355200.

The previous prime is 1300312221113. The next prime is 1300312221167. The reversal of 1300312221120 is 211222130031.

1300312221120 is a `hidden beast` number, since 1 + 300 + 31 + 222 + 112 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1300312221093 and 1300312221102.

It is a congruent number.

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, 320061 + ... + 1644099.

Almost surely, 21300312221120 is an apocalyptic number.

1300312221120 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 1300312221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518260526080).

1300312221120 is an abundant number, since it is smaller than the sum of its proper divisors (3736208831040).

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

1300312221120 is a wasteful number, since it uses less digits than its factorization.

1300312221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324104 (or 1324091 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1300312221120 its reverse (211222130031), we get a palindrome (1511534351151).

The spelling of 1300312221120 in words is "one trillion, three hundred billion, three hundred twelve million, two hundred twenty-one thousand, one hundred twenty".