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131144020 = 22575915877
BaseRepresentation
bin1111101000100…
…01100101010100
3100010202210202221
413310101211110
5232033102040
621002512124
73151464040
oct764214524
9303683687
10131144020
1168033497
1237b05644
1321229417
14135bb020
15b7a774a
hex7d11954

131144020 has 48 divisors (see below), whose sum is σ = 320100480. Its totient is φ = 44198784.

The previous prime is 131144017. The next prime is 131144047. The reversal of 131144020 is 20441131.

It is a junction number, because it is equal to n+sod(n) for n = 131143985 and 131144003.

It is a congruent number.

It is an unprimeable number.

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, 322 + ... + 16198.

It is an arithmetic number, because the mean of its divisors is an integer number (6668760).

Almost surely, 2131144020 is an apocalyptic number.

131144020 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 131144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160050240).

131144020 is an abundant number, since it is smaller than the sum of its proper divisors (188956460).

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

131144020 is a wasteful number, since it uses less digits than its factorization.

131144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15950 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 131144020 is about 11451.8129569077. The cubic root of 131144020 is about 508.0613572116.

Adding to 131144020 its reverse (20441131), we get a palindrome (151585151).

The spelling of 131144020 in words is "one hundred thirty-one million, one hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 8260 15877 31754 63508 79385 111139 158770 222278 317540 444556 555695 936743 1111390 1873486 2222780 3746972 4683715 6557201 9367430 13114402 18734860 26228804 32786005 65572010 131144020