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131344220 = 22571934861
BaseRepresentation
bin1111101010000…
…10011101011100
3100011010222101202
413311002131130
5232111003340
621011055032
73153256520
oct765023534
9304128352
10131344220
116815a947
1237ba1478
1321299597
141362dd80
15b7e6c15
hex7d4275c

131344220 has 48 divisors (see below), whose sum is σ = 316924608. Its totient is φ = 44789760.

The previous prime is 131344201. The next prime is 131344247. The reversal of 131344220 is 22443131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131344192 and 131344201.

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, 24590 + ... + 29450.

It is an arithmetic number, because the mean of its divisors is an integer number (6602596).

Almost surely, 2131344220 is an apocalyptic number.

131344220 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 131344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158462304).

131344220 is an abundant number, since it is smaller than the sum of its proper divisors (185580388).

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

131344220 is a wasteful number, since it uses less digits than its factorization.

131344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131344220 is about 11460.5505975935. The cubic root of 131344220 is about 508.3197554975.

Adding to 131344220 its reverse (22443131), we get a palindrome (153787351).

The spelling of 131344220 in words is "one hundred thirty-one million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 4861 5404 6755 9722 13510 19444 24305 27020 34027 48610 68054 97220 136108 170135 340270 680540 938173 1876346 3752692 4690865 6567211 9381730 13134422 18763460 26268844 32836055 65672110 131344220