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242304102313 = 71317672337737
BaseRepresentation
bin1110000110101001110…
…0110010111110101001
3212011102120220202011121
43201222130302332221
512432214322233223
6303151333455241
723335343613160
oct3415234627651
9764376822147
10242304102313
1193840392429
123ab631a1521
1319b06851b90
14ba286a83d7
15648238d15d
hex386a732fa9

242304102313 has 32 divisors (see below), whose sum is σ = 320475826944. Its totient is φ = 177742743552.

The previous prime is 242304102311. The next prime is 242304102319. The reversal of 242304102313 is 313201403242.

It is a cyclic number.

It is not a de Polignac number, because 242304102313 - 21 = 242304102311 is a prime.

It is a super-2 number, since 2×2423041023132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (242304102311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065220 + ... + 1272517.

It is an arithmetic number, because the mean of its divisors is an integer number (10014869592).

Almost surely, 2242304102313 is an apocalyptic number.

It is an amenable number.

242304102313 is a deficient number, since it is larger than the sum of its proper divisors (78171724631).

242304102313 is a wasteful number, since it uses less digits than its factorization.

242304102313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337841.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 242304102313 its reverse (313201403242), we get a palindrome (555505505555).

The spelling of 242304102313 in words is "two hundred forty-two billion, three hundred four million, one hundred two thousand, three hundred thirteen".

Divisors: 1 7 13 17 67 91 119 221 469 871 1139 1547 6097 7973 14807 103649 2337737 16364159 30390581 39741529 156628379 212734067 278190703 516639877 1096398653 2036168927 2662682443 3616479139 14253182489 18638777101 34614871759 242304102313