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12141330320241 = 3223173388987179
BaseRepresentation
bin1011000010101101111110…
…1011100100101101110001
31120222200220012000020211200
42300223133223210231301
53042410421030221431
641453352233201413
72362116324633333
oct260533753445561
946880805006750
1012141330320241
113961122495261
1214410a2b60269
136a0bcba74505
142dd901b81453
15160c55820ee6
hexb0adfae4b71

12141330320241 has 48 divisors (see below), whose sum is σ = 18410700297600. Its totient is φ = 7695476845056.

The previous prime is 12141330320237. The next prime is 12141330320257. The reversal of 12141330320241 is 14202303314121.

12141330320241 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 330 + 320 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 12141330320241 - 22 = 12141330320237 is a prime.

It is a super-2 number, since 2×121413303202412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12141330320641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139225390 + ... + 139312568.

It is an arithmetic number, because the mean of its divisors is an integer number (383556256200).

Almost surely, 212141330320241 is an apocalyptic number.

It is an amenable number.

12141330320241 is a deficient number, since it is larger than the sum of its proper divisors (6269369977359).

12141330320241 is a wasteful number, since it uses less digits than its factorization.

12141330320241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91270 (or 91267 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12141330320241 its reverse (14202303314121), we get a palindrome (26343633634362).

The spelling of 12141330320241 in words is "twelve trillion, one hundred forty-one billion, three hundred thirty million, three hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 23 69 173 207 519 1557 3889 3979 11667 11937 35001 35811 87179 89447 261537 268341 672797 784611 805023 2005117 2018391 6015351 6055173 15081967 15474331 18046053 45245901 46422993 135737703 139268979 339039131 346885241 1017117393 1040655723 3051352179 3121967169 7797900013 23393700039 58653769663 70181100117 175961308989 527883926967 1349036702249 4047110106747 12141330320241