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1002643121 is a prime number
BaseRepresentation
bin111011110000110…
…001111010110001
32120212122112210102
4323300301322301
54023134034441
6243254042145
733563216534
oct7360617261
92525575712
101002643121
11474a69687
1223b949355
1312c95426c
1497238a1b
155d05469b
hex3bc31eb1

1002643121 has 2 divisors, whose sum is σ = 1002643122. Its totient is φ = 1002643120.

The previous prime is 1002643111. The next prime is 1002643133. The reversal of 1002643121 is 1213462001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1002608896 + 34225 = 31664^2 + 185^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002643121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1002643093 and 1002643102.

It is not a weakly prime, because it can be changed into another prime (1002643111) 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, 501321560 + 501321561.

It is an arithmetic number, because the mean of its divisors is an integer number (501321561).

Almost surely, 21002643121 is an apocalyptic number.

It is an amenable number.

1002643121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002643121 is an equidigital number, since it uses as much as digits as its factorization.

1002643121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 1002643121 is about 31664.5404356356. The cubic root of 1002643121 is about 1000.8802652391.

The spelling of 1002643121 in words is "one billion, two million, six hundred forty-three thousand, one hundred twenty-one".