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131350401 = 327131923367
BaseRepresentation
bin1111101010000…
…11111110000001
3100011011021212200
413311003332001
5232111203101
621011143413
73153313530
oct765037601
9304137780
10131350401
1168164556
1237ba4b69
132129c340
1413632317
15b7e8986
hex7d43f81

131350401 has 96 divisors (see below), whose sum is σ = 257187840. Its totient is φ = 62612352.

The previous prime is 131350393. The next prime is 131350403. The reversal of 131350401 is 104053131.

It is not a de Polignac number, because 131350401 - 23 = 131350393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131350403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357720 + ... + 358086.

It is an arithmetic number, because the mean of its divisors is an integer number (2679040).

Almost surely, 2131350401 is an apocalyptic number.

It is an amenable number.

131350401 is a deficient number, since it is larger than the sum of its proper divisors (125837439).

131350401 is a wasteful number, since it uses less digits than its factorization.

131350401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131350401 is about 11460.8202586028. The cubic root of 131350401 is about 508.3277291388.

The spelling of 131350401 in words is "one hundred thirty-one million, three hundred fifty thousand, four hundred one".

Divisors: 1 3 7 9 13 19 21 23 39 57 63 69 91 117 133 161 171 207 247 273 299 367 399 437 483 741 819 897 1101 1197 1311 1449 1729 2093 2223 2569 2691 3059 3303 3933 4771 5187 5681 6279 6973 7707 8441 9177 14313 15561 17043 18837 20919 23121 25323 27531 33397 39767 42939 48811 51129 59087 62757 75969 90649 100191 109733 119301 146433 160379 177261 271947 300573 329199 357903 439299 481137 531783 634543 768131 815841 987597 1122653 1443411 1903629 2084927 2304393 3367959 5710887 6254781 6913179 10103877 14594489 18764343 43783467 131350401