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13021000073 is a prime number
BaseRepresentation
bin11000010000001110…
…01011000110001001
31020121110022100010222
430020013023012021
5203131334000243
65552021115425
7640446450224
oct141007130611
936543270128
1013021000073
115582019094
122634858b75
1312c6845393
148b74745bb
155131ee168
hex3081cb189

13021000073 has 2 divisors, whose sum is σ = 13021000074. Its totient is φ = 13021000072.

The previous prime is 13021000061. The next prime is 13021000099. The reversal of 13021000073 is 37000012031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8138204944 + 4882795129 = 90212^2 + 69877^2 .

It is a cyclic number.

It is not a de Polignac number, because 13021000073 - 210 = 13020999049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13021000973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6510500036 + 6510500037.

It is an arithmetic number, because the mean of its divisors is an integer number (6510500037).

Almost surely, 213021000073 is an apocalyptic number.

It is an amenable number.

13021000073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13021000073 is an equidigital number, since it uses as much as digits as its factorization.

13021000073 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 spelling of 13021000073 in words is "thirteen billion, twenty-one million, seventy-three", and thus it is an aban number and an uban number.