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313330144121241 = 31331973318071907
BaseRepresentation
bin100011100111110001101101…
…1111100000001000110011001
31112002102001212110212011102120
41013033203123330001012121
5312032100113343334431
63030221514151051453
7122666233031126412
oct10717433374010631
91462361773764376
10313330144121241
1190922627946a05
122b185593370b89
13105aaba10a5060
14575338d202809
152635681c9b196
hex11cf8dbf01199

313330144121241 has 64 divisors (see below), whose sum is σ = 470628656848896. Its totient is φ = 184116947097600.

The previous prime is 313330144121237. The next prime is 313330144121243. The reversal of 313330144121241 is 142121441033313.

It is a happy number.

It is not a de Polignac number, because 313330144121241 - 22 = 313330144121237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313330144121243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34781410 + ... + 42853316.

It is an arithmetic number, because the mean of its divisors is an integer number (7353572763264).

Almost surely, 2313330144121241 is an apocalyptic number.

313330144121241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

313330144121241 is a deficient number, since it is larger than the sum of its proper divisors (157298512727655).

313330144121241 is a wasteful number, since it uses less digits than its factorization.

313330144121241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072382.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 313330144121241 its reverse (142121441033313), we get a palindrome (455451585154554).

The spelling of 313330144121241 in words is "three hundred thirteen trillion, three hundred thirty billion, one hundred forty-four million, one hundred twenty-one thousand, two hundred forty-one".

Divisors: 1 3 13 31 39 93 97 291 331 403 993 1209 1261 3007 3783 4303 9021 10261 12909 30783 32107 39091 96321 117273 133393 400179 417391 995317 1252173 2985951 8071907 12939121 24215721 38817363 104934791 250229117 314804373 750687351 782974979 2348924937 2671801217 3252978521 8015403651 9758935563 10178674727 24272224349 30536024181 34733415821 72816673047 82825837727 104200247463 248477513181 259164718049 315538916537 777494154147 946616749611 1076735890451 3230207671353 3369141334637 8034106259519 10107424003911 24102318778557 104443381373747 313330144121241