Search a number
-
+
131601717 = 32131497549
BaseRepresentation
bin1111101100000…
…01010100110101
3100011122001121200
413312001110311
5232142223332
621020403113
73155411322
oct766012465
9304561550
10131601717
1168316355
12380a6499
1321359850
1413699b49
15b84817c
hex7d81535

131601717 has 24 divisors (see below), whose sum is σ = 206115000. Its totient is φ = 80431488.

The previous prime is 131601689. The next prime is 131601737. The reversal of 131601717 is 717106131.

It can be written as a sum of positive squares in 4 ways, for example, as 3481956 + 128119761 = 1866^2 + 11319^2 .

It is not a de Polignac number, because 131601717 - 220 = 130553141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131601737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13659 + ... + 21207.

It is an arithmetic number, because the mean of its divisors is an integer number (8588125).

Almost surely, 2131601717 is an apocalyptic number.

It is an amenable number.

131601717 is a deficient number, since it is larger than the sum of its proper divisors (74513283).

131601717 is a wasteful number, since it uses less digits than its factorization.

131601717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7717 (or 7714 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 131601717 is about 11471.7791558241. The cubic root of 131601717 is about 508.6517213022.

Adding to 131601717 its reverse (717106131), we get a palindrome (848707848).

The spelling of 131601717 in words is "one hundred thirty-one million, six hundred one thousand, seven hundred seventeen".

Divisors: 1 3 9 13 39 117 149 447 1341 1937 5811 7549 17433 22647 67941 98137 294411 883233 1124801 3374403 10123209 14622413 43867239 131601717