Search a number
-
+
131320500 = 2235387547
BaseRepresentation
bin1111101001111…
…00101010110100
3100011002202212020
413310330222310
5232104224000
621010353140
73153130413
oct764745264
9304082766
10131320500
1168144043
1237b8b7b0
132128b84c
141362547a
15b7deba0
hex7d3cab4

131320500 has 48 divisors (see below), whose sum is σ = 382409664. Its totient is φ = 35018400.

The previous prime is 131320487. The next prime is 131320507. The reversal of 131320500 is 5023131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131320500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42274 + ... + 45273.

It is an arithmetic number, because the mean of its divisors is an integer number (7966868).

Almost surely, 2131320500 is an apocalyptic number.

131320500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131320500 is an abundant number, since it is smaller than the sum of its proper divisors (251089164).

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

131320500 is a wasteful number, since it uses less digits than its factorization.

131320500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87569 (or 87557 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 131320500 is about 11459.5156965729. The cubic root of 131320500 is about 508.2891537943.

Adding to 131320500 its reverse (5023131), we get a palindrome (136343631).

The spelling of 131320500 in words is "one hundred thirty-one million, three hundred twenty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 87547 175094 262641 350188 437735 525282 875470 1050564 1313205 1750940 2188675 2626410 4377350 5252820 6566025 8754700 10943375 13132050 21886750 26264100 32830125 43773500 65660250 131320500