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12241414221 = 319371012569
BaseRepresentation
bin10110110011010010…
…10010100001001101
31011121010101021101220
423121221102201031
5200032300223341
65342411553553
7612232206201
oct133151224115
934533337356
1012241414221
115211a60763
12245775b8b9
13120118c28a
14841b00b01
154b9a5aa66
hex2d9a5284d

12241414221 has 48 divisors (see below), whose sum is σ = 17853038400. Its totient is φ = 7434892800.

The previous prime is 12241414217. The next prime is 12241414301.

It is a happy number.

12241414221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12241414221 - 22 = 12241414217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12241414191 and 12241414200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12241414121) 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, 21513625 + ... + 21514193.

It is an arithmetic number, because the mean of its divisors is an integer number (371938300).

Almost surely, 212241414221 is an apocalyptic number.

It is an amenable number.

12241414221 is a deficient number, since it is larger than the sum of its proper divisors (5611624179).

12241414221 is a wasteful number, since it uses less digits than its factorization.

12241414221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 729 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 12241414221 in words is "twelve billion, two hundred forty-one million, four hundred fourteen thousand, two hundred twenty-one".

Divisors: 1 3 19 37 57 101 111 303 569 703 1707 1919 2109 3737 5757 10201 10811 11211 21053 30603 32433 57469 63159 71003 172407 193819 213009 377437 400007 581457 1091911 1132311 1200021 2126353 3275733 5804369 6379059 7171303 17413107 21513909 40400707 110283011 121202121 214761653 330849033 644284959 4080471407 12241414221