Search a number
-
+
112657537 is a prime number
BaseRepresentation
bin1101011011100…
…00010010000001
321211222121002101
412231300102001
5212320020122
615102350401
72535400426
oct655602201
9254877071
10112657537
1158657303
123188b401
131a455b85
1410d67d4d
159d55027
hex6b70481

112657537 has 2 divisors, whose sum is σ = 112657538. Its totient is φ = 112657536.

The previous prime is 112657513. The next prime is 112657541. The reversal of 112657537 is 735756211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97634161 + 15023376 = 9881^2 + 3876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112657537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112657496 and 112657505.

It is not a weakly prime, because it can be changed into another prime (112657577) 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 as a sum of consecutive naturals, namely, 56328768 + 56328769.

It is an arithmetic number, because the mean of its divisors is an integer number (56328769).

Almost surely, 2112657537 is an apocalyptic number.

It is an amenable number.

112657537 is a deficient number, since it is larger than the sum of its proper divisors (1).

112657537 is an equidigital number, since it uses as much as digits as its factorization.

112657537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44100, while the sum is 37.

The square root of 112657537 is about 10614.0254851776. The cubic root of 112657537 is about 482.9699209836.

The spelling of 112657537 in words is "one hundred twelve million, six hundred fifty-seven thousand, five hundred thirty-seven".