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37130121 = 3272920323
BaseRepresentation
bin1000110110100…
…0111110001001
32120212101221200
42031220332021
534001130441
63403454413
7630413040
oct215507611
976771850
1037130121
1119a60456
1210527409
1379004b2
144d07557
1533d67b6
hex2368f89

37130121 has 24 divisors (see below), whose sum is σ = 63410880. Its totient is φ = 20484576.

The previous prime is 37130117. The next prime is 37130131. The reversal of 37130121 is 12103173.

37130121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 37130121 - 22 = 37130117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37130094 and 37130103.

It is not an unprimeable number, because it can be changed into a prime (37130111) 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 23 ways as a sum of consecutive naturals, for example, 8335 + ... + 11988.

It is an arithmetic number, because the mean of its divisors is an integer number (2642120).

Almost surely, 237130121 is an apocalyptic number.

It is an amenable number.

37130121 is a deficient number, since it is larger than the sum of its proper divisors (26280759).

37130121 is a wasteful number, since it uses less digits than its factorization.

37130121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20362 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 37130121 is about 6093.4490233365. The cubic root of 37130121 is about 333.6123516035.

Adding to 37130121 its reverse (12103173), we get a palindrome (49233294).

The spelling of 37130121 in words is "thirty-seven million, one hundred thirty thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 20323 60969 142261 182907 426783 589367 1280349 1768101 4125569 5304303 12376707 37130121