Search a number
-
+
131352500 = 225452541
BaseRepresentation
bin1111101010001…
…00011110110100
3100011011101202102
413311010132310
5232111240000
621011201232
73153322616
oct765043664
9304141672
10131352500
1168166094
1237ba6218
13212a0296
1413632db6
15b7e93d5
hex7d447b4

131352500 has 30 divisors (see below), whose sum is σ = 287247114. Its totient is φ = 52540000.

The previous prime is 131352439. The next prime is 131352509. The reversal of 131352500 is 5253131.

It can be written as a sum of positive squares in 5 ways, for example, as 13586596 + 117765904 = 3686^2 + 10852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352509) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23771 + ... + 28770.

Almost surely, 2131352500 is an apocalyptic number.

131352500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131352500 is an abundant number, since it is smaller than the sum of its proper divisors (155894614).

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

131352500 is an equidigital number, since it uses as much as digits as its factorization.

131352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52565 (or 52548 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 131352500 is about 11460.9118310892. The cubic root of 131352500 is about 508.3304368434.

The spelling of 131352500 in words is "one hundred thirty-one million, three hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 52541 105082 210164 262705 525410 1050820 1313525 2627050 5254100 6567625 13135250 26270500 32838125 65676250 131352500