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288311961313 is a prime number
BaseRepresentation
bin1000011001000001011…
…10110110011011100001
31000120011221211010212101
410030200232312123201
514210430330230223
6340240525530401
726554432143655
oct4144056663341
91016157733771
10288311961313
111012aa6498a2
1247a63113a01
13212594c239c
14dd50b2ca65
1577765114ad
hex4320bb66e1

288311961313 has 2 divisors, whose sum is σ = 288311961314. Its totient is φ = 288311961312.

The previous prime is 288311961299. The next prime is 288311961347. The reversal of 288311961313 is 313169113882.

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., 278353318464 + 9958642849 = 527592^2 + 99793^2 .

It is a cyclic number.

It is not a de Polignac number, because 288311961313 - 225 = 288278406881 is a prime.

It is a super-2 number, since 2×2883119613132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (288311961713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144155980656 + 144155980657.

It is an arithmetic number, because the mean of its divisors is an integer number (144155980657).

Almost surely, 2288311961313 is an apocalyptic number.

It is an amenable number.

288311961313 is a deficient number, since it is larger than the sum of its proper divisors (1).

288311961313 is an equidigital number, since it uses as much as digits as its factorization.

288311961313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 186624, while the sum is 46.

The spelling of 288311961313 in words is "two hundred eighty-eight billion, three hundred eleven million, nine hundred sixty-one thousand, three hundred thirteen".