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131340220 = 225114114561
BaseRepresentation
bin1111101010000…
…01011110111100
3100011010202220121
413311001132330
5232110341340
621011024324
73153242044
oct765013674
9304122817
10131340220
1168157940
1237b9b0a4
132129780b
141362c724
15b7e594a
hex7d417bc

131340220 has 48 divisors (see below), whose sum is σ = 308248416. Its totient is φ = 46592000.

The previous prime is 131340169. The next prime is 131340247. The reversal of 131340220 is 22043131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131340194 and 131340203.

It is a congruent number.

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, 1740 + ... + 16300.

It is an arithmetic number, because the mean of its divisors is an integer number (6421842).

Almost surely, 2131340220 is an apocalyptic number.

131340220 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 131340220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154124208).

131340220 is an abundant number, since it is smaller than the sum of its proper divisors (176908196).

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

131340220 is a wasteful number, since it uses less digits than its factorization.

131340220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14622 (or 14620 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 131340220 is about 11460.3760845794. The cubic root of 131340220 is about 508.3145952662.

Adding to 131340220 its reverse (22043131), we get a palindrome (153383351).

The spelling of 131340220 in words is "one hundred thirty-one million, three hundred forty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 14561 29122 58244 72805 145610 160171 291220 320342 597001 640684 800855 1194002 1601710 2388004 2985005 3203420 5970010 6567011 11940020 13134022 26268044 32835055 65670110 131340220