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1037000213 is a prime number
BaseRepresentation
bin111101110011110…
…101111000010101
32200021022001212022
4331303311320111
54110433001323
6250522302525
734461233144
oct7563657025
92607261768
101037000213
114923a5677
1224b357a45
13136ac34c2
149ba1d75b
156108e4c8
hex3dcf5e15

1037000213 has 2 divisors, whose sum is σ = 1037000214. Its totient is φ = 1037000212.

The previous prime is 1037000197. The next prime is 1037000231. The reversal of 1037000213 is 3120007301.

Together with next prime (1037000231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 738643684 + 298356529 = 27178^2 + 17273^2 .

It is a cyclic number.

It is not a de Polignac number, because 1037000213 - 24 = 1037000197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1037000191 and 1037000200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1037009213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 518500106 + 518500107.

It is an arithmetic number, because the mean of its divisors is an integer number (518500107).

Almost surely, 21037000213 is an apocalyptic number.

It is an amenable number.

1037000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1037000213 is an equidigital number, since it uses as much as digits as its factorization.

1037000213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 1037000213 is about 32202.4876834073. The cubic root of 1037000213 is about 1012.1843431598.

Adding to 1037000213 its reverse (3120007301), we get a palindrome (4157007514).

The spelling of 1037000213 in words is "one billion, thirty-seven million, two hundred thirteen", and thus it is an aban number.