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131144220 = 22325728579
BaseRepresentation
bin1111101000100…
…01101000011100
3100010202211001100
413310101220130
5232033103340
621002513100
73151464444
oct764215034
9303684040
10131144220
1168033659
1237b05790
132122953c
14135bb124
15b7a7830
hex7d11a1c

131144220 has 36 divisors (see below), whose sum is σ = 397804680. Its totient is φ = 34971744.

The previous prime is 131144201. The next prime is 131144261. The reversal of 131144220 is 22441131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131144193 and 131144202.

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 11 ways as a sum of consecutive naturals, for example, 364110 + ... + 364469.

It is an arithmetic number, because the mean of its divisors is an integer number (11050130).

Almost surely, 2131144220 is an apocalyptic number.

131144220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131144220 is an abundant number, since it is smaller than the sum of its proper divisors (266660460).

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

131144220 is a wasteful number, since it uses less digits than its factorization.

131144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728594 (or 728589 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131144220 is about 11451.8216891462. The cubic root of 131144220 is about 508.0616154829.

Adding to 131144220 its reverse (22441131), we get a palindrome (153585351).

The spelling of 131144220 in words is "one hundred thirty-one million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 728579 1457158 2185737 2914316 3642895 4371474 6557211 7285790 8742948 10928685 13114422 14571580 21857370 26228844 32786055 43714740 65572110 131144220