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131431350 = 23525914851
BaseRepresentation
bin1111101010101…
…11101110110110
3100011022101220210
413311113232312
5232121300400
621013010250
73154101531
oct765275666
9304271823
10131431350
116820a356
1238023986
13212ca13b
1413653a18
15b812950
hex7d57bb6

131431350 has 48 divisors (see below), whose sum is σ = 331496640. Its totient is φ = 34452000.

The previous prime is 131431343. The next prime is 131431367. The reversal of 131431350 is 53134131.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1425 + ... + 16275.

It is an arithmetic number, because the mean of its divisors is an integer number (6906180).

Almost surely, 2131431350 is an apocalyptic number.

131431350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131431350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165748320).

131431350 is an abundant number, since it is smaller than the sum of its proper divisors (200065290).

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

131431350 is a wasteful number, since it uses less digits than its factorization.

131431350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14925 (or 14920 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 131431350 is about 11464.3512681704. The cubic root of 131431350 is about 508.4321322491.

Adding to 131431350 its reverse (53134131), we get a palindrome (184565481).

The spelling of 131431350 in words is "one hundred thirty-one million, four hundred thirty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1770 2950 4425 8850 14851 29702 44553 74255 89106 148510 222765 371275 445530 742550 876209 1113825 1752418 2227650 2628627 4381045 5257254 8762090 13143135 21905225 26286270 43810450 65715675 131431350