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37116000121 is a prime number
BaseRepresentation
bin100010100100010010…
…010011011101111001
310112210200022011102011
4202210102103131321
51102003144000441
625014552405521
72452524536614
oct424422233571
9115720264364
1037116000121
1114817018272
12723a0a68a1
133666724465
141b2155d17b
15e73708581
hex8a4493779

37116000121 has 2 divisors, whose sum is σ = 37116000122. Its totient is φ = 37116000120.

The previous prime is 37116000109. The next prime is 37116000127. The reversal of 37116000121 is 12100061173.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21007313721 + 16108686400 = 144939^2 + 126920^2 .

It is a cyclic number.

It is not a de Polignac number, because 37116000121 - 225 = 37082445689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 37116000092 and 37116000101.

It is not a weakly prime, because it can be changed into another prime (37116000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18558000060 + 18558000061.

It is an arithmetic number, because the mean of its divisors is an integer number (18558000061).

Almost surely, 237116000121 is an apocalyptic number.

It is an amenable number.

37116000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

37116000121 is an equidigital number, since it uses as much as digits as its factorization.

37116000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 22.

Adding to 37116000121 its reverse (12100061173), we get a palindrome (49216061294).

The spelling of 37116000121 in words is "thirty-seven billion, one hundred sixteen million, one hundred twenty-one", and thus it is an aban number.