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102011311289 is a prime number
BaseRepresentation
bin101111100000001011…
…0010001010010111001
3100202022100021112122102
41133000112101102321
53132404343430124
6114510252233145
710240635560546
oct1370026212271
9322270245572
10102011311289
113a2987a9038
121792b46b7b5
139809417474
144d1a221bcd
1529c0ad3aae
hex17c05914b9

102011311289 has 2 divisors, whose sum is σ = 102011311290. Its totient is φ = 102011311288.

The previous prime is 102011311261. The next prime is 102011311321. The reversal of 102011311289 is 982113110201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53647824400 + 48363486889 = 231620^2 + 219917^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011311289 - 28 = 102011311033 is a prime.

It is not a weakly prime, because it can be changed into another prime (102811311289) 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, 51005655644 + 51005655645.

It is an arithmetic number, because the mean of its divisors is an integer number (51005655645).

Almost surely, 2102011311289 is an apocalyptic number.

It is an amenable number.

102011311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011311289 is an equidigital number, since it uses as much as digits as its factorization.

102011311289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 29.

The spelling of 102011311289 in words is "one hundred two billion, eleven million, three hundred eleven thousand, two hundred eighty-nine".