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1300303003320 = 2332517257826723
BaseRepresentation
bin10010111011000000000…
…110010011111010111000
311121022022100111121122100
4102323000012103322320
5132301010032101240
62433203450023400
7162641502110106
oct22730006237270
94538270447570
101300303003320
11461501168062
12190010a17b60
1395805b07249
1446d13900c76
1523c55828e30
hex12ec0193eb8

1300303003320 has 192 divisors, whose sum is σ = 4491988319520. Its totient is φ = 325080317952.

The previous prime is 1300303003291. The next prime is 1300303003327. The reversal of 1300303003320 is 233003030031.

1300303003320 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 30 + 300 + 332 + 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 = 1300303003293 and 1300303003302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300303003327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1159479 + ... + 1986201.

Almost surely, 21300303003320 is an apocalyptic number.

1300303003320 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 1300303003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245994159760).

1300303003320 is an abundant number, since it is smaller than the sum of its proper divisors (3191685316200).

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

1300303003320 is a wasteful number, since it uses less digits than its factorization.

1300303003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827014 (or 827007 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 1300303003320 its reverse (233003030031), we get a palindrome (1533306033351).

The spelling of 1300303003320 in words is "one trillion, three hundred billion, three hundred three million, three thousand, three hundred twenty".