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131143220 = 225132917393
BaseRepresentation
bin1111101000100…
…01011000110100
3100010202202200022
413310101120310
5232033040340
621002504312
73151461515
oct764213064
9303682608
10131143220
116803292a
1237b05098
1321228c50
14135baa0c
15b7a73b5
hex7d11634

131143220 has 48 divisors (see below), whose sum is σ = 306830160. Its totient is φ = 46749696.

The previous prime is 131143211. The next prime is 131143223. The reversal of 131143220 is 22341131.

It can be written as a sum of positive squares in 8 ways, for example, as 20178064 + 110965156 = 4492^2 + 10534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131143223) 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, 1157 + ... + 16236.

It is an arithmetic number, because the mean of its divisors is an integer number (6392295).

Almost surely, 2131143220 is an apocalyptic number.

131143220 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 131143220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153415080).

131143220 is an abundant number, since it is smaller than the sum of its proper divisors (175686940).

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

131143220 is a wasteful number, since it uses less digits than its factorization.

131143220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444 (or 17442 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 131143220 is about 11451.7780278872. The cubic root of 131143220 is about 508.0603241237.

Adding to 131143220 its reverse (22341131), we get a palindrome (153484351).

The spelling of 131143220 in words is "one hundred thirty-one million, one hundred forty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3770 7540 17393 34786 69572 86965 173930 226109 347860 452218 504397 904436 1008794 1130545 2017588 2261090 2521985 4522180 5043970 6557161 10087940 13114322 26228644 32785805 65571610 131143220