Search a number
-
+
131606000613 = 3320172416607
BaseRepresentation
bin111101010010001010…
…1000011001111100101
3110120200211220112022000
41322210111003033211
54124012114004423
6140243045155513
712336214355613
oct1724425031745
9416624815260
10131606000613
11508a517a16a
122160a6bbb99
13c54482b959
1465268c26b3
153653d4a843
hex1ea45433e5

131606000613 has 16 divisors (see below), whose sum is σ = 195068597760. Its totient is φ = 87693798528.

The previous prime is 131606000597. The next prime is 131606000639. The reversal of 131606000613 is 316000606131.

It is a happy number.

It is not a de Polignac number, because 131606000613 - 24 = 131606000597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131606040613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1153845 + ... + 1262762.

It is an arithmetic number, because the mean of its divisors is an integer number (12191787360).

Almost surely, 2131606000613 is an apocalyptic number.

It is an amenable number.

131606000613 is a deficient number, since it is larger than the sum of its proper divisors (63462597147).

131606000613 is a wasteful number, since it uses less digits than its factorization.

131606000613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418633 (or 2418627 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131606000613 its reverse (316000606131), we get a palindrome (447606606744).

The spelling of 131606000613 in words is "one hundred thirty-one billion, six hundred six million, six hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 2017 6051 18153 54459 2416607 7249821 21749463 65248389 4874296319 14622888957 43868666871 131606000613