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37023013 is a prime number
BaseRepresentation
bin1000110100111…
…0110100100101
32120122222000201
42031032310211
533434214023
63401310501
7626455546
oct215166445
976588021
1037023013
1119997a35
1210495431
137893811
144cba4cd
1533b4bad
hex234ed25

37023013 has 2 divisors, whose sum is σ = 37023014. Its totient is φ = 37023012.

The previous prime is 37022987. The next prime is 37023023. The reversal of 37023013 is 31032073.

37023013 = 43022 + 43032.

37023013 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., 18515809 + 18507204 = 4303^2 + 4302^2 .

It is a cyclic number.

It is not a de Polignac number, because 37023013 - 29 = 37022501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37023023) 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, 18511506 + 18511507.

It is an arithmetic number, because the mean of its divisors is an integer number (18511507).

Almost surely, 237023013 is an apocalyptic number.

37023013 is the 4303-rd centered square number.

It is an amenable number.

37023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37023013 is an equidigital number, since it uses as much as digits as its factorization.

37023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 37023013 is about 6084.6538931972. The cubic root of 37023013 is about 333.2912559109.

Adding to 37023013 its reverse (31032073), we get a palindrome (68055086).

The spelling of 37023013 in words is "thirty-seven million, twenty-three thousand, thirteen".