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131317848 = 23341911061
BaseRepresentation
bin1111101001111…
…00000001011000
3100011002122020000
413310330001120
5232104132343
621010333000
73153116604
oct764740130
9304078200
10131317848
1168142052
1237b8a160
132128a58c
1413624504
15b7dded3
hex7d3c058

131317848 has 80 divisors (see below), whose sum is σ = 370085760. Its totient is φ = 43502400.

The previous prime is 131317841. The next prime is 131317889. The reversal of 131317848 is 848713131.

It is a super-3 number, since 3×1313178483 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131317841) 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 19 ways as a sum of consecutive naturals, for example, 123238 + ... + 124298.

It is an arithmetic number, because the mean of its divisors is an integer number (4626072).

Almost surely, 2131317848 is an apocalyptic number.

131317848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131317848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185042880).

131317848 is an abundant number, since it is smaller than the sum of its proper divisors (238767912).

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

131317848 is a wasteful number, since it uses less digits than its factorization.

131317848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1257 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 131317848 is about 11459.3999842924. The cubic root of 131317848 is about 508.2857321607.

The spelling of 131317848 in words is "one hundred thirty-one million, three hundred seventeen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1061 1146 1528 1719 2122 2292 3183 3438 4244 4584 5157 6366 6876 8488 9549 10314 12732 13752 15471 19098 20628 25464 28647 30942 38196 41256 57294 61884 76392 85941 114588 123768 171882 202651 229176 343764 405302 607953 687528 810604 1215906 1621208 1823859 2431812 3647718 4863624 5471577 7295436 10943154 14590872 16414731 21886308 32829462 43772616 65658924 131317848