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4124120043137 is a prime number
BaseRepresentation
bin111100000000111000101…
…101011100111010000001
3112121021002000110012002212
4330000320231130322001
51020032144212340022
612434332233151505
7603646352653103
oct74007055347201
915537060405085
104124120043137
111350036281116
1256734755b595
1323bb97744c43
14103873927573
15724279e93e2
hex3c038b5ce81

4124120043137 has 2 divisors, whose sum is σ = 4124120043138. Its totient is φ = 4124120043136.

The previous prime is 4124120043133. The next prime is 4124120043149. The reversal of 4124120043137 is 7313400214214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2824419721201 + 1299700321936 = 1680601^2 + 1140044^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124120043137 - 22 = 4124120043133 is a prime.

It is a super-2 number, since 2×41241200431372 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4124120043133) 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, 2062060021568 + 2062060021569.

It is an arithmetic number, because the mean of its divisors is an integer number (2062060021569).

Almost surely, 24124120043137 is an apocalyptic number.

It is an amenable number.

4124120043137 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124120043137 is an equidigital number, since it uses as much as digits as its factorization.

4124120043137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 4124120043137 in words is "four trillion, one hundred twenty-four billion, one hundred twenty million, forty-three thousand, one hundred thirty-seven".