Search a number
-
+
131141220 = 22357312241
BaseRepresentation
bin1111101000100…
…00111001100100
3100010202122221020
413310100321210
5232033004340
621002451140
73151452630
oct764207144
9303678836
10131141220
1168031381
1237b03ab0
1321228072
14135b9dc0
15b7a69d0
hex7d10e64

131141220 has 48 divisors (see below), whose sum is σ = 419653248. Its totient is φ = 29975040.

The previous prime is 131141203. The next prime is 131141221. The reversal of 131141220 is 22141131.

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 131141220.

It is not an unprimeable number, because it can be changed into a prime (131141221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155701 + ... + 156540.

It is an arithmetic number, because the mean of its divisors is an integer number (8742776).

Almost surely, 2131141220 is an apocalyptic number.

131141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141220 is an abundant number, since it is smaller than the sum of its proper divisors (288512028).

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

131141220 is a wasteful number, since it uses less digits than its factorization.

131141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312260 (or 312258 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 131141220 is about 11451.6907048697. The cubic root of 131141220 is about 508.0577413855.

Adding to 131141220 its reverse (22141131), we get a palindrome (153282351).

The spelling of 131141220 in words is "one hundred thirty-one million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 312241 624482 936723 1248964 1561205 1873446 2185687 3122410 3746892 4371374 4683615 6244820 6557061 8742748 9367230 10928435 13114122 18734460 21856870 26228244 32785305 43713740 65570610 131141220