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37412113 is a prime number
BaseRepresentation
bin1000111010110…
…1110100010001
32121101201202211
42032231310101
534034141423
63413512121
7632666134
oct216556421
977351684
1037412113
111a133302
1210642641
13799b95b
144d7c21b
15344010d
hex23add11

37412113 has 2 divisors, whose sum is σ = 37412114. Its totient is φ = 37412112.

The previous prime is 37412051. The next prime is 37412119. The reversal of 37412113 is 31121473.

37412113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 28121809 + 9290304 = 5303^2 + 3048^2 .

It is a cyclic number.

It is not a de Polignac number, because 37412113 - 213 = 37403921 is a prime.

It is not a weakly prime, because it can be changed into another prime (37412119) 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, 18706056 + 18706057.

It is an arithmetic number, because the mean of its divisors is an integer number (18706057).

Almost surely, 237412113 is an apocalyptic number.

It is an amenable number.

37412113 is a deficient number, since it is larger than the sum of its proper divisors (1).

37412113 is an equidigital number, since it uses as much as digits as its factorization.

37412113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 37412113 is about 6116.5442040420. The cubic root of 37412113 is about 334.4547840360.

Adding to 37412113 its reverse (31121473), we get a palindrome (68533586).

The spelling of 37412113 in words is "thirty-seven million, four hundred twelve thousand, one hundred thirteen".