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131171484 = 22323661719
BaseRepresentation
bin1111101000110…
…00010010011100
3100010211012110010
413310120102130
5232034441414
621003243220
73151640103
oct764302234
9303735403
10131171484
1168052094
1237b19510
1321238a82
14135c703a
15b7b0959
hex7d1849c

131171484 has 48 divisors (see below), whose sum is σ = 320302080. Its totient is φ = 41701440.

The previous prime is 131171477. The next prime is 131171503. The reversal of 131171484 is 484171131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 182077 + ... + 182795.

It is an arithmetic number, because the mean of its divisors is an integer number (6672960).

Almost surely, 2131171484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131171484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160151040).

131171484 is an abundant number, since it is smaller than the sum of its proper divisors (189130596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131171484 is a wasteful number, since it uses less digits than its factorization.

131171484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1408 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 131171484 is about 11453.0120055818. The cubic root of 131171484 is about 508.0968205726.

The spelling of 131171484 in words is "one hundred thirty-one million, one hundred seventy-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 661 719 1322 1438 1983 2157 2644 2876 3966 4314 7932 8628 15203 16537 30406 33074 45609 49611 60812 66148 91218 99222 182436 198444 475259 950518 1425777 1901036 2851554 5703108 10930957 21861914 32792871 43723828 65585742 131171484