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131444120 = 2354376421
BaseRepresentation
bin1111101010110…
…10110110011000
3100011100001102202
413311122312120
5232122202440
621013145332
73154154003
oct765326630
9304301382
10131444120
1168218a05
123802b248
1321302bb2
141365853a
15b816615
hex7d5ad98

131444120 has 32 divisors (see below), whose sum is σ = 302631120. Its totient is φ = 51354240.

The previous prime is 131444087. The next prime is 131444129. The reversal of 131444120 is 21444131.

It is a super-3 number, since 3×1314441203 (a number of 25 digits) contains 333 as substring.

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 = 131444092 and 131444101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131444129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36491 + ... + 39930.

Almost surely, 2131444120 is an apocalyptic number.

131444120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131444120 is an abundant number, since it is smaller than the sum of its proper divisors (171187000).

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

131444120 is a wasteful number, since it uses less digits than its factorization.

131444120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76475 (or 76471 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 131444120 is about 11464.9081984986. The cubic root of 131444120 is about 508.4485983055.

Adding to 131444120 its reverse (21444131), we get a palindrome (152888251).

The spelling of 131444120 in words is "one hundred thirty-one million, four hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 76421 152842 305684 382105 611368 764210 1528420 3056840 3286103 6572206 13144412 16430515 26288824 32861030 65722060 131444120