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1300013133201 = 33421571200293
BaseRepresentation
bin10010111010101110110…
…100100010110110010001
311121021120011001200121000
4102322232310202312101
5132244411330230301
62433115013052213
7162631352210526
oct22725664426621
94537504050530
101300013133201
11461372582382
1218bb4b927069
139578aa45173
1446cc720714d
1523c3a16b786
hex12eaed22d91

1300013133201 has 32 divisors (see below), whose sum is σ = 1933910675840. Its totient is φ = 863098286400.

The previous prime is 1300013133187. The next prime is 1300013133203. The reversal of 1300013133201 is 1023313100031.

It is a happy number.

1300013133201 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 1 + 313 + 320 + 1 = 666.

It is not a de Polignac number, because 1300013133201 - 217 = 1300013002129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300013133203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6390411 + ... + 6590703.

It is an arithmetic number, because the mean of its divisors is an integer number (60434708620).

Almost surely, 21300013133201 is an apocalyptic number.

It is an amenable number.

1300013133201 is a deficient number, since it is larger than the sum of its proper divisors (633897542639).

1300013133201 is a wasteful number, since it uses less digits than its factorization.

1300013133201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201294 (or 201288 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300013133201 its reverse (1023313100031), we get a palindrome (2323326233232).

The spelling of 1300013133201 in words is "one trillion, three hundred billion, thirteen million, one hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 27 421 571 1263 1713 3789 5139 11367 15417 200293 240391 600879 721173 1802637 2163519 5407911 6490557 84323353 114367303 252970059 343101909 758910177 1029305727 2276730531 3087917181 48148634563 144445903689 433337711067 1300013133201