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1306066081131 = 32724271693421
BaseRepresentation
bin10011000000010111100…
…110101101010101101011
311121212011222202022011200
4103000113212231111223
5132344310404044011
62435555400455243
7163234351342200
oct23002746552553
94555158668150
101306066081131
11463999287789
1219115aa7a523
1396213a8c066
14472dd079ca7
1523e91762856
hex130179ad56b

1306066081131 has 36 divisors (see below), whose sum is σ = 2195063398944. Its totient is φ = 746147656800.

The previous prime is 1306066081127. The next prime is 1306066081139. The reversal of 1306066081131 is 1311806606031.

1306066081131 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 6 + 608 + 11 + 31 = 666.

It is not a de Polignac number, because 1306066081131 - 22 = 1306066081127 is a prime.

It is a super-2 number, since 2×13060660811312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1306066081139) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1536801 + ... + 2230221.

It is an arithmetic number, because the mean of its divisors is an integer number (60973983304).

Almost surely, 21306066081131 is an apocalyptic number.

1306066081131 is a deficient number, since it is larger than the sum of its proper divisors (888997317813).

1306066081131 is a wasteful number, since it uses less digits than its factorization.

1306066081131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697712 (or 697702 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1306066081131 in words is "one trillion, three hundred six billion, sixty-six million, eighty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 441 4271 12813 29897 38439 89691 209279 269073 627837 693421 1883511 2080263 4853947 6240789 14561841 33977629 43685523 101932887 305798661 2961601091 8884803273 20731207637 26654409819 62193622911 145118453459 186580868733 435355360377 1306066081131