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289975309121 is a prime number
BaseRepresentation
bin1000011100000111110…
…00000001001101000001
31000201110212200222002202
410032003320001031001
514222332134342441
6341113545122545
726643600313331
oct4160370011501
91021425628082
10289975309121
11101a83558703
1248248189455
1321462ca7b64
141006b9d30c1
15782257519b
hex4383e01341

289975309121 has 2 divisors, whose sum is σ = 289975309122. Its totient is φ = 289975309120.

The previous prime is 289975309061. The next prime is 289975309147. The reversal of 289975309121 is 121903579982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 286534313521 + 3440995600 = 535289^2 + 58660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289975309121 is a prime.

It is not a weakly prime, because it can be changed into another prime (289975309181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144987654560 + 144987654561.

It is an arithmetic number, because the mean of its divisors is an integer number (144987654561).

Almost surely, 2289975309121 is an apocalyptic number.

It is an amenable number.

289975309121 is a deficient number, since it is larger than the sum of its proper divisors (1).

289975309121 is an equidigital number, since it uses as much as digits as its factorization.

289975309121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2449440, while the sum is 56.

The spelling of 289975309121 in words is "two hundred eighty-nine billion, nine hundred seventy-five million, three hundred nine thousand, one hundred twenty-one".