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131341056 = 2837112221
BaseRepresentation
bin1111101010000…
…01101100000000
3100011010211001120
413311001230000
5232110403211
621011032240
73153244350
oct765015400
9304124046
10131341056
1168158530
1237b9b680
1321298002
141362cb60
15b7e5d06
hex7d41b00

131341056 has 144 divisors (see below), whose sum is σ = 436009728. Its totient is φ = 34099200.

The previous prime is 131341051. The next prime is 131341057. The reversal of 131341056 is 650143131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131341051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58026 + ... + 60246.

Almost surely, 2131341056 is an apocalyptic number.

131341056 is a gapful number since it is divisible by the number (16) 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 131341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218004864).

131341056 is an abundant number, since it is smaller than the sum of its proper divisors (304668672).

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

131341056 is a wasteful number, since it uses less digits than its factorization.

131341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131341056 is about 11460.4125580190. The cubic root of 131341056 is about 508.3156737632.

Adding to 131341056 its reverse (650143131), we get a palindrome (781484187).

The spelling of 131341056 in words is "one hundred thirty-one million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2221 2464 2688 2816 3696 4224 4442 4928 5376 6663 7392 8448 8884 9856 13326 14784 15547 17768 19712 24431 26652 29568 31094 35536 46641 48862 53304 59136 62188 71072 73293 93282 97724 106608 124376 142144 146586 171017 186564 195448 213216 248752 284288 293172 342034 373128 390896 426432 497504 513051 568576 586344 684068 746256 781792 852864 995008 1026102 1172688 1368136 1492512 1563584 1705728 1990016 2052204 2345376 2736272 2985024 3127168 3980032 4104408 4690752 5472544 5970048 6254336 8208816 9381504 10945088 11940096 16417632 18763008 21890176 32835264 43780352 65670528 131341056