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1330201013300 = 225281649162917
BaseRepresentation
bin10011010110110110001…
…010001010110000110100
311201011110222212220000022
4103112312022022300310
5133243222424411200
62455030320104312
7165050423025005
oct23266612126064
94634428786008
101330201013300
11473153880515
12195975765098
139858c00cb03
144854c59b1ac
1524905508885
hex135b628ac34

1330201013300 has 36 divisors (see below), whose sum is σ = 2886589269900. Its totient is φ = 532070622720.

The previous prime is 1330201013299. The next prime is 1330201013303. The reversal of 1330201013300 is 33101020331.

It can be written as a sum of positive squares in 6 ways, for example, as 138422690704 + 1191778322596 = 372052^2 + 1091686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330201013303) 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 11 ways as a sum of consecutive naturals, for example, 8083442 + ... + 8246358.

It is an arithmetic number, because the mean of its divisors is an integer number (80183035275).

Almost surely, 21330201013300 is an apocalyptic number.

1330201013300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330201013300 is an abundant number, since it is smaller than the sum of its proper divisors (1556388256600).

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

1330201013300 is a wasteful number, since it uses less digits than its factorization.

1330201013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244580 (or 244573 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1330201013300 its reverse (33101020331), we get a palindrome (1363302033631).

The spelling of 1330201013300 in words is "one trillion, three hundred thirty billion, two hundred one million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 81649 162917 163298 325834 326596 408245 651668 814585 816490 1629170 1632980 2041225 3258340 4072925 4082450 8145850 8164900 16291700 13302010133 26604020266 53208040532 66510050665 133020101330 266040202660 332550253325 665100506650 1330201013300