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131605721 = 13171573793
BaseRepresentation
bin1111101100000…
…10010011011001
3100011122021002222
413312002103121
5232142340341
621020433425
73155426102
oct766022331
9304567088
10131605721
1168319365
12380a8875
132135b610
141369b3a9
15b84944b
hex7d824d9

131605721 has 16 divisors (see below), whose sum is σ = 151061904. Its totient is φ = 113577984.

The previous prime is 131605709. The next prime is 131605739. The reversal of 131605721 is 127506131.

It can be written as a sum of positive squares in 8 ways, for example, as 13579225 + 118026496 = 3685^2 + 10864^2 .

It is not a de Polignac number, because 131605721 - 226 = 64496857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131605321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32801 + ... + 36593.

It is an arithmetic number, because the mean of its divisors is an integer number (9441369).

Almost surely, 2131605721 is an apocalyptic number.

It is an amenable number.

131605721 is a deficient number, since it is larger than the sum of its proper divisors (19456183).

131605721 is a wasteful number, since it uses less digits than its factorization.

131605721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 131605721 is about 11471.9536697112. The cubic root of 131605721 is about 508.6568798490.

It can be divided in two parts, 13160 and 5721, that added together give a palindrome (18881).

The spelling of 131605721 in words is "one hundred thirty-one million, six hundred five thousand, seven hundred twenty-one".

Divisors: 1 13 17 157 221 2041 2669 3793 34697 49309 64481 595501 838253 7741513 10123517 131605721