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12800241 = 333141373
BaseRepresentation
bin110000110101…
…000011110001
3220002022122000
4300311003301
511234101431
61134204213
7213541326
oct60650361
926068560
1012800241
117253013
124353669
13286230c
1419b2b4d
1511cc9e6
hexc350f1

12800241 has 32 divisors (see below), whose sum is σ = 20106240. Its totient is φ = 8035200.

The previous prime is 12800239. The next prime is 12800251. The reversal of 12800241 is 14200821.

It is not a de Polignac number, because 12800241 - 21 = 12800239 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12800251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34131 + ... + 34503.

It is an arithmetic number, because the mean of its divisors is an integer number (628320).

Almost surely, 212800241 is an apocalyptic number.

It is an amenable number.

12800241 is a deficient number, since it is larger than the sum of its proper divisors (7305999).

12800241 is a wasteful number, since it uses less digits than its factorization.

12800241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 12800241 is about 3577.7424446150. The cubic root of 12800241 is about 233.9228871484.

It can be divided in two parts, 12800 and 241, that added together give a triangular number (13041 = T161).

The spelling of 12800241 in words is "twelve million, eight hundred thousand, two hundred forty-one".

Divisors: 1 3 9 27 31 41 93 123 279 369 373 837 1107 1119 1271 3357 3813 10071 11439 11563 15293 34317 34689 45879 104067 137637 312201 412911 474083 1422249 4266747 12800241