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131201130309975 = 325211150133530977
BaseRepresentation
bin11101110101001110100100…
…110001000010100101010111
3122012112201001100121002112200
4131311032210301002211113
5114144044403324404400
61143012544525015543
736430653213660045
oct3565164461024527
9565481040532480
10131201130309975
11388940a57209a0
121286b7a90b45b3
1358292a10a395b
142458250875395
151027c98605b00
hex7753a4c42957

131201130309975 has 72 divisors (see below), whose sum is σ = 256376205454512. Its totient is φ = 63608414054400.

The previous prime is 131201130309961. The next prime is 131201130310009. The reversal of 131201130309975 is 579903031102131.

131201130309975 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 130 + 309 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 131201130309975 - 24 = 131201130309959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 131201130309975.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35391687 + ... + 38922663.

Almost surely, 2131201130309975 is an apocalyptic number.

131201130309975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131201130309975 is a deficient number, since it is larger than the sum of its proper divisors (125175075144537).

131201130309975 is a wasteful number, since it uses less digits than its factorization.

131201130309975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3546017 (or 3546009 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The spelling of 131201130309975 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred thirty million, three hundred nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 15013 45039 75065 135117 165143 225195 375325 495429 675585 825715 1125975 1486287 2477145 3377925 3530977 4128575 7431435 10592931 12385725 17654885 31778793 37157175 38840747 52964655 88274425 116522241 158893965 194203735 264823275 349566723 582611205 794469825 971018675 1747833615 2913056025 8739168075 53010557701 159031673103 265052788505 477095019309 583116134711 795158365515 1325263942525 1749348404133 2385475096545 2915580673555 3975791827575 5248045212399 8746742020665 11927375482725 14577903367775 26240226061995 43733710103325 131201130309975