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12401114241 = 3294115712213
BaseRepresentation
bin10111000110010100…
…11111110010000001
31012000020212212122110
423203022133302001
5200344141123431
65410314525533
7616211506005
oct134312376201
935006785573
1012401114241
11529411874a
1224a11368a9
1312282a6329
14858dd2705
154c8aa4346
hex2e329fc81

12401114241 has 32 divisors (see below), whose sum is σ = 17541256320. Its totient is φ = 7779161600.

The previous prime is 12401114239. The next prime is 12401114249. The reversal of 12401114241 is 14241110421.

12401114241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12401114241 - 21 = 12401114239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12401114249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5602651 + ... + 5604863.

It is an arithmetic number, because the mean of its divisors is an integer number (548164260).

Almost surely, 212401114241 is an apocalyptic number.

It is an amenable number.

12401114241 is a deficient number, since it is larger than the sum of its proper divisors (5140142079).

12401114241 is a wasteful number, since it uses less digits than its factorization.

12401114241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3857.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12401114241 its reverse (14241110421), we get a palindrome (26642224662).

The spelling of 12401114241 in words is "twelve billion, four hundred one million, one hundred fourteen thousand, two hundred forty-one".

Divisors: 1 3 29 41 87 123 1189 1571 2213 3567 4713 6639 45559 64177 64411 90733 136677 192531 193233 272199 1867919 2631257 3476623 5603757 7893771 10429869 100822067 142541543 302466201 427624629 4133704747 12401114241