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131285763 = 32719671637
BaseRepresentation
bin1111101001101…
…00001100000011
3100011001000012200
413310310030003
5232102121023
621005524243
73152624220
oct764641403
9304030180
10131285763
116811aa34
1237b73683
1321278aab
1413616947
15b7d4743
hex7d34303

131285763 has 48 divisors (see below), whose sum is σ = 231678720. Its totient is φ = 69968448.

The previous prime is 131285701. The next prime is 131285779. The reversal of 131285763 is 367582131.

It is a Cunningham number, because it is equal to 114582-1.

It is not a de Polignac number, because 131285763 - 29 = 131285251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131285263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79381 + ... + 81017.

It is an arithmetic number, because the mean of its divisors is an integer number (4826640).

Almost surely, 2131285763 is an apocalyptic number.

131285763 is a deficient number, since it is larger than the sum of its proper divisors (100392957).

131285763 is a wasteful number, since it uses less digits than its factorization.

131285763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1733 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131285763 is about 11457.9999563624. Note that the first 4 decimals coincide. The cubic root of 131285763 is about 508.2443321622.

The spelling of 131285763 in words is "one hundred thirty-one million, two hundred eighty-five thousand, seven hundred sixty-three".

Divisors: 1 3 7 9 19 21 57 63 67 133 171 201 399 469 603 1197 1273 1407 1637 3819 4221 4911 8911 11457 11459 14733 26733 31103 34377 80199 93309 103131 109679 217721 279927 329037 653163 767753 987111 1959489 2083901 2303259 6251703 6909777 14587307 18755109 43761921 131285763