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131600745 = 3251928101
BaseRepresentation
bin1111101100000…
…01000101101001
3100011122000021200
413312001011221
5232142210440
621020354413
73155405433
oct766010551
9304560250
10131600745
1168315651
12380a5a09
1321359283
1413699653
15b847c30
hex7d81169

131600745 has 36 divisors (see below), whose sum is σ = 240775236. Its totient is φ = 66484800.

The previous prime is 131600743. The next prime is 131600747. The reversal of 131600745 is 547006131.

131600745 is a `hidden beast` number, since 13 + 1 + 600 + 7 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (131600743) and next prime (131600747).

It can be written as a sum of positive squares in 2 ways, for example, as 104101209 + 27499536 = 10203^2 + 5244^2 .

It is not a de Polignac number, because 131600745 - 21 = 131600743 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131600743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12195 + ... + 20295.

It is an arithmetic number, because the mean of its divisors is an integer number (6688201).

Almost surely, 2131600745 is an apocalyptic number.

131600745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131600745 is a deficient number, since it is larger than the sum of its proper divisors (109174491).

131600745 is a wasteful number, since it uses less digits than its factorization.

131600745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8150 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 131600745 is about 11471.7367909136. The cubic root of 131600745 is about 508.6504690119.

Adding to 131600745 its reverse (547006131), we get a palindrome (678606876).

The spelling of 131600745 in words is "one hundred thirty-one million, six hundred thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 361 855 1083 1805 3249 5415 8101 16245 24303 40505 72909 121515 153919 364545 461757 769595 1385271 2308785 2924461 6926355 8773383 14622305 26320149 43866915 131600745