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37213013 is a prime number
BaseRepresentation
bin1000110111110…
…1001101010101
32121000121122202
42031331031111
534011304023
63405334245
7631206515
oct215751525
977017582
1037213013
111a007762
1210567385
13792c146
144d29845
153401128
hex237d355

37213013 has 2 divisors, whose sum is σ = 37213014. Its totient is φ = 37213012.

The previous prime is 37212997. The next prime is 37213021. The reversal of 37213013 is 31031273.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26604964 + 10608049 = 5158^2 + 3257^2 .

It is a cyclic number.

It is not a de Polignac number, because 37213013 - 24 = 37212997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (37213313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18606506 + 18606507.

It is an arithmetic number, because the mean of its divisors is an integer number (18606507).

Almost surely, 237213013 is an apocalyptic number.

It is an amenable number.

37213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

37213013 is an equidigital number, since it uses as much as digits as its factorization.

37213013 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 20.

The square root of 37213013 is about 6100.2469622139. The cubic root of 37213013 is about 333.8604272988.

Adding to 37213013 its reverse (31031273), we get a palindrome (68244286).

The spelling of 37213013 in words is "thirty-seven million, two hundred thirteen thousand, thirteen".