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1300120322301 = 32891623121501
BaseRepresentation
bin10010111010110101001…
…101011100000011111101
311121021211121202110101200
4102322311031130003331
5132300121300303201
62433133402330113
7162634123254303
oct22726515340375
94537747673350
101300120322301
11461418034109
1218bb7b7b9939
13957a7004c78
1446cd754a273
1523c44791386
hex12eb535c0fd

1300120322301 has 12 divisors (see below), whose sum is σ = 1899052157340. Its totient is φ = 857008152000.

The previous prime is 1300120322261. The next prime is 1300120322321. The reversal of 1300120322301 is 1032230210031.

1300120322301 is a `hidden beast` number, since 1 + 30 + 0 + 12 + 0 + 322 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 883158255225 + 416962067076 = 939765^2 + 645726^2 .

It is not a de Polignac number, because 1300120322301 - 217 = 1300120191229 is a prime.

It is a super-3 number, since 3×13001203223013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300120322321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811559950 + ... + 811561551.

It is an arithmetic number, because the mean of its divisors is an integer number (158254346445).

Almost surely, 21300120322301 is an apocalyptic number.

It is an amenable number.

1300120322301 is a deficient number, since it is larger than the sum of its proper divisors (598931835039).

1300120322301 is a wasteful number, since it uses less digits than its factorization.

1300120322301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623121596 (or 1623121593 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1300120322301 its reverse (1032230210031), we get a palindrome (2332350532332).

The spelling of 1300120322301 in words is "one trillion, three hundred billion, one hundred twenty million, three hundred twenty-two thousand, three hundred one".

Divisors: 1 3 9 89 267 801 1623121501 4869364503 14608093509 144457813589 433373440767 1300120322301