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37113131 = 113373921
BaseRepresentation
bin1000110110010…
…0110100101011
32120211112122102
42031210310223
534000110011
63403244015
7630312356
oct215446453
976745572
1037113131
1119a49710
121051960b
1378c5843
144d0129d
1533d173b
hex2364d2b

37113131 has 4 divisors (see below), whose sum is σ = 40487064. Its totient is φ = 33739200.

The previous prime is 37113103. The next prime is 37113133. The reversal of 37113131 is 13131173.

37113131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13131173 = 111193743.

It is not a de Polignac number, because 37113131 - 26 = 37113067 is a prime.

It is a super-3 number, since 3×371131313 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37113133) 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 3 ways as a sum of consecutive naturals, for example, 1686950 + ... + 1686971.

It is an arithmetic number, because the mean of its divisors is an integer number (10121766).

Almost surely, 237113131 is an apocalyptic number.

37113131 is a deficient number, since it is larger than the sum of its proper divisors (3373933).

37113131 is a wasteful number, since it uses less digits than its factorization.

37113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373932.

The product of its digits is 189, while the sum is 20.

The square root of 37113131 is about 6092.0547436805. The cubic root of 37113131 is about 333.5614590626.

The spelling of 37113131 in words is "thirty-seven million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 11 3373921 37113131