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12245854221 = 323729111091
BaseRepresentation
bin10110110011110100…
…01110100000001101
31011121102201211221100
423121322032200031
5200034414313341
65343051053313
7612315020616
oct133172164015
934542654840
1012245854221
115214513587
122459141239
1312020851b3
14842538c0d
154ba1363b6
hex2d9e8e80d

12245854221 has 36 divisors (see below), whose sum is σ = 18216080064. Its totient is φ = 7927264800.

The previous prime is 12245854213. The next prime is 12245854237.

12245854221 is a `hidden beast` number, since 1 + 224 + 5 + 8 + 5 + 422 + 1 = 666.

12245854221 is nontrivially palindromic in base 10.

12245854221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12245854221 - 23 = 12245854213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12245854121) 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 35 ways as a sum of consecutive naturals, for example, 11223886 + ... + 11224976.

It is an arithmetic number, because the mean of its divisors is an integer number (506002224).

Almost surely, 212245854221 is an apocalyptic number.

It is an amenable number.

12245854221 is a deficient number, since it is larger than the sum of its proper divisors (5970225843).

12245854221 is a wasteful number, since it uses less digits than its factorization.

12245854221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2042 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The spelling of 12245854221 in words is "twelve billion, two hundred forty-five million, eight hundred fifty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 911 1091 1369 2733 3273 4107 8199 9819 12321 33707 40367 101121 121101 303363 363303 993901 1247159 1493579 2981703 3741477 4480737 8945109 11224431 13442211 36774337 110323011 330969033 1360650469 4081951407 12245854221