Search a number
-
+
112977149 is a prime number
BaseRepresentation
bin1101011101111…
…10010011111101
321212120211111212
412232332103331
5212410232044
615113254205
72541201305
oct656762375
9255524455
10112977149
115885544a
1231a04365
131a5384ac
141100c605
159db9a9e
hex6bbe4fd

112977149 has 2 divisors, whose sum is σ = 112977150. Its totient is φ = 112977148.

The previous prime is 112977133. The next prime is 112977167. The reversal of 112977149 is 941779211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112741924 + 235225 = 10618^2 + 485^2 .

It is an emirp because it is prime and its reverse (941779211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112977149 - 24 = 112977133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112977119) 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 as a sum of consecutive naturals, namely, 56488574 + 56488575.

It is an arithmetic number, because the mean of its divisors is an integer number (56488575).

Almost surely, 2112977149 is an apocalyptic number.

It is an amenable number.

112977149 is a deficient number, since it is larger than the sum of its proper divisors (1).

112977149 is an equidigital number, since it uses as much as digits as its factorization.

112977149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 31752, while the sum is 41.

The square root of 112977149 is about 10629.0709377631. The cubic root of 112977149 is about 483.4262219675.

The spelling of 112977149 in words is "one hundred twelve million, nine hundred seventy-seven thousand, one hundred forty-nine".