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10121311289 is a prime number
BaseRepresentation
bin10010110110100011…
…01111010000111001
3222010101000212221002
421123101233100321
5131212023430124
64352154454345
7505546504115
oct113321572071
928111025832
1010121311289
114324241a81
121b657343b5
13c53b831bb
146c0300745
153e38720ae
hex25b46f439

10121311289 has 2 divisors, whose sum is σ = 10121311290. Its totient is φ = 10121311288.

The previous prime is 10121311279. The next prime is 10121311331. The reversal of 10121311289 is 98211312101.

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., 9333105664 + 788205625 = 96608^2 + 28075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121311289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10121311279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060655644 + 5060655645.

It is an arithmetic number, because the mean of its divisors is an integer number (5060655645).

Almost surely, 210121311289 is an apocalyptic number.

It is an amenable number.

10121311289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121311289 is an equidigital number, since it uses as much as digits as its factorization.

10121311289 is an evil number, because the sum of its binary digits is even.

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

The spelling of 10121311289 in words is "ten billion, one hundred twenty-one million, three hundred eleven thousand, two hundred eighty-nine".