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131005533 = 31133831009
BaseRepresentation
bin1111100111011…
…11110001011101
3100010111202210210
413303233301131
5232014134113
620555523033
73150346221
oct763576135
9303452723
10131005533
1167a4943a
1237a59479
13211ab389
1413582781
15b77b6c3
hex7cefc5d

131005533 has 16 divisors (see below), whose sum is σ = 176855040. Its totient is φ = 86252544.

The previous prime is 131005529. The next prime is 131005541. The reversal of 131005533 is 335500131.

It is a happy number.

It is not a de Polignac number, because 131005533 - 22 = 131005529 is a prime.

It is a super-2 number, since 2×1310055332 = 34324899353228178, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131005543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129333 + ... + 130341.

It is an arithmetic number, because the mean of its divisors is an integer number (11053440).

Almost surely, 2131005533 is an apocalyptic number.

It is an amenable number.

131005533 is a deficient number, since it is larger than the sum of its proper divisors (45849507).

131005533 is a wasteful number, since it uses less digits than its factorization.

131005533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508.

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 131005533 is about 11445.7648499347. The cubic root of 131005533 is about 507.8824580283.

Adding to 131005533 its reverse (335500131), we get a palindrome (466505664).

The spelling of 131005533 in words is "one hundred thirty-one million, five thousand, five hundred thirty-three".

Divisors: 1 3 113 339 383 1009 1149 3027 43279 114017 129837 342051 386447 1159341 43668511 131005533