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131313441 = 3747233571
BaseRepresentation
bin1111101001110…
…10111100100001
3100011002102011210
413310322330201
5232104012231
621010300333
73153101010
oct764727441
9304072153
10131313441
1168139806
1237b876a9
132128857c
1413622a77
15b7dca46
hex7d3af21

131313441 has 32 divisors (see below), whose sum is σ = 205590528. Its totient is φ = 72996480.

The previous prime is 131313437. The next prime is 131313449. The reversal of 131313441 is 144313131.

It is not a de Polignac number, because 131313441 - 22 = 131313437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (131313449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229686 + ... + 230256.

It is an arithmetic number, because the mean of its divisors is an integer number (6424704).

Almost surely, 2131313441 is an apocalyptic number.

It is an amenable number.

131313441 is a deficient number, since it is larger than the sum of its proper divisors (74277087).

131313441 is a wasteful number, since it uses less digits than its factorization.

131313441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its digits is 432, while the sum is 21.

The square root of 131313441 is about 11459.2076951245. The cubic root of 131313441 is about 508.2800461088.

Adding to 131313441 its reverse (144313131), we get a palindrome (275626572).

The spelling of 131313441 in words is "one hundred thirty-one million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 7 21 47 141 233 329 571 699 987 1631 1713 3997 4893 10951 11991 26837 32853 76657 80511 133043 187859 229971 399129 563577 931301 2793903 6253021 18759063 43771147 131313441