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37140113 is a prime number
BaseRepresentation
bin1000110110101…
…1011010010001
32120212220122202
42031223122101
534001440423
63404012545
7630454133
oct215533221
976786582
1037140113
1119a67a0a
1210531155
137904bca
144d0b053
1533d9728
hex236b691

37140113 has 2 divisors, whose sum is σ = 37140114. Its totient is φ = 37140112.

The previous prime is 37140109. The next prime is 37140161. The reversal of 37140113 is 31104173.

It is a happy number.

37140113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19642624 + 17497489 = 4432^2 + 4183^2 .

It is an emirp because it is prime and its reverse (31104173) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 37140113 - 22 = 37140109 is a prime.

It is not a weakly prime, because it can be changed into another prime (37140163) 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 as a sum of consecutive naturals, namely, 18570056 + 18570057.

It is an arithmetic number, because the mean of its divisors is an integer number (18570057).

Almost surely, 237140113 is an apocalyptic number.

It is an amenable number.

37140113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37140113 is an equidigital number, since it uses as much as digits as its factorization.

37140113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 37140113 is about 6094.2688650896. The cubic root of 37140113 is about 333.6422747993.

Adding to 37140113 its reverse (31104173), we get a palindrome (68244286).

The spelling of 37140113 in words is "thirty-seven million, one hundred forty thousand, one hundred thirteen".