Search a number
-
+
131106561 = 3419771091
BaseRepresentation
bin1111101000010…
…00011100000001
3100010200220101120
413310020130001
5232030402221
621002022453
73151246605
oct764103401
9303626346
10131106561
1168008333
1237aa7a29
1321215361
14135ab505
15b79b5c6
hex7d08701

131106561 has 16 divisors (see below), whose sum is σ = 179419968. Its totient is φ = 85107200.

The previous prime is 131106559. The next prime is 131106589. The reversal of 131106561 is 165601131.

It is a cyclic number.

It is not a de Polignac number, because 131106561 - 21 = 131106559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131106511) 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, 119626 + ... + 120716.

It is an arithmetic number, because the mean of its divisors is an integer number (11213748).

Almost surely, 2131106561 is an apocalyptic number.

It is an amenable number.

131106561 is a deficient number, since it is larger than the sum of its proper divisors (48313407).

131106561 is a wasteful number, since it uses less digits than its factorization.

131106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 131106561 is about 11450.1773348713. The cubic root of 131106561 is about 508.0129796527.

Adding to 131106561 its reverse (165601131), we get a palindrome (296707692).

The spelling of 131106561 in words is "one hundred thirty-one million, one hundred six thousand, five hundred sixty-one".

Divisors: 1 3 41 123 977 1091 2931 3273 40057 44731 120171 134193 1065907 3197721 43702187 131106561