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131171348 = 227111313251
BaseRepresentation
bin1111101000110…
…00010000010100
3100010211012021002
413310120100110
5232034440343
621003242432
73151636520
oct764302024
9303735232
10131171348
1168051a80
1237b19418
13212389a9
14135c6d80
15b7b08b8
hex7d18414

131171348 has 48 divisors (see below), whose sum is σ = 288465408. Its totient is φ = 50700000.

The previous prime is 131171347. The next prime is 131171387. The reversal of 131171348 is 843171131.

It is a super-2 number, since 2×1311713482 = 34411845072274208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 131171348.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131171347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38723 + ... + 41973.

It is an arithmetic number, because the mean of its divisors is an integer number (6009696).

Almost surely, 2131171348 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 131171348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144232704).

131171348 is an abundant number, since it is smaller than the sum of its proper divisors (157294060).

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

131171348 is a wasteful number, since it uses less digits than its factorization.

131171348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404 (or 3402 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 131171348 is about 11453.0060682774. The cubic root of 131171348 is about 508.0966449725.

The spelling of 131171348 in words is "one hundred thirty-one million, one hundred seventy-one thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3251 3668 5764 6502 10087 13004 20174 22757 35761 40348 45514 71522 91028 143044 250327 425881 500654 851762 1001308 1703524 2981167 4684691 5962334 9369382 11924668 18738764 32792837 65585674 131171348