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131431140 = 22335243391
BaseRepresentation
bin1111101010101…
…11101011100100
3100011022101122000
413311113223210
5232121244030
621013005300
73154101111
oct765275344
9304271560
10131431140
116820a185
1238023830
13212ca009
1413653908
15b812860
hex7d57ae4

131431140 has 48 divisors (see below), whose sum is σ = 408898560. Its totient is φ = 35048160.

The previous prime is 131431127. The next prime is 131431147. The reversal of 131431140 is 41134131.

131431140 is a `hidden beast` number, since 1 + 314 + 311 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131431147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121156 + ... + 122235.

It is an arithmetic number, because the mean of its divisors is an integer number (8518720).

Almost surely, 2131431140 is an apocalyptic number.

131431140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131431140 is an abundant number, since it is smaller than the sum of its proper divisors (277467420).

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

131431140 is a wasteful number, since it uses less digits than its factorization.

131431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243409 (or 243401 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131431140 is about 11464.3421093406. The cubic root of 131431140 is about 508.4318614593.

Adding to 131431140 its reverse (41134131), we get a palindrome (172565271).

The spelling of 131431140 in words is "one hundred thirty-one million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 243391 486782 730173 973564 1216955 1460346 2190519 2433910 2920692 3650865 4381038 4867820 6571557 7301730 8762076 10952595 13143114 14603460 21905190 26286228 32857785 43810380 65715570 131431140