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131330133 = 3311261659
BaseRepresentation
bin1111101001111…
…11000001010101
3100011010021002000
413310333001111
5232110031013
621010505513
73153200454
oct764770125
9304107060
10131330133
1168150300
1237b95299
132129304c
1413628b9b
15b7e2973
hex7d3f055

131330133 has 48 divisors (see below), whose sum is σ = 217694400. Its totient is φ = 78170400.

The previous prime is 131330113. The next prime is 131330137. The reversal of 131330133 is 331033131.

It is not a de Polignac number, because 131330133 - 29 = 131329621 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198958 + ... + 199616.

It is an arithmetic number, because the mean of its divisors is an integer number (4535300).

Almost surely, 2131330133 is an apocalyptic number.

It is an amenable number.

131330133 is a deficient number, since it is larger than the sum of its proper divisors (86364267).

131330133 is a wasteful number, since it uses less digits than its factorization.

131330133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131330133 is about 11459.9359945857. The cubic root of 131330133 is about 508.3015819877.

Adding to 131330133 its reverse (331033131), we get a palindrome (462363264).

The spelling of 131330133 in words is "one hundred thirty-one million, three hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 11 27 33 61 99 121 183 297 363 549 659 671 1089 1647 1977 2013 3267 5931 6039 7249 7381 17793 18117 21747 22143 40199 65241 66429 79739 120597 195723 199287 239217 361791 442189 717651 1085373 1326567 2152953 3979701 4864079 11939103 14592237 43776711 131330133