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131309000 = 2353196911
BaseRepresentation
bin1111101001110…
…01110111001000
3100011002012002022
413310321313020
5232103342000
621010224012
73153052034
oct764716710
9304065068
10131309000
1168136439
1237b85008
1321286544
14136211c4
15b7db585
hex7d39dc8

131309000 has 64 divisors (see below), whose sum is σ = 323481600. Its totient is φ = 49752000.

The previous prime is 131308999. The next prime is 131309011. The reversal of 131309000 is 903131.

It is a self number, because there is not a number n which added to its sum of digits gives 131309000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15545 + ... + 22455.

It is an arithmetic number, because the mean of its divisors is an integer number (5054400).

Almost surely, 2131309000 is an apocalyptic number.

131309000 is a gapful number since it is divisible by the number (10) 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 131309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161740800).

131309000 is an abundant number, since it is smaller than the sum of its proper divisors (192172600).

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

131309000 is a wasteful number, since it uses less digits than its factorization.

131309000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6951 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 131309000 is about 11459.0139191817. The cubic root of 131309000 is about 508.2743160604.

The spelling of 131309000 in words is "one hundred thirty-one million, three hundred nine thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 6911 9500 13822 19000 27644 34555 55288 69110 131309 138220 172775 262618 276440 345550 525236 656545 691100 863875 1050472 1313090 1382200 1727750 2626180 3282725 3455500 5252360 6565450 6911000 13130900 16413625 26261800 32827250 65654500 131309000