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12131685225 = 3352112371039
BaseRepresentation
bin10110100110001101…
…01101001101101001
31011022110220110112000
423103012231031221
5144321202411400
65323452041213
7606430423452
oct132306551551
934273813460
1012131685225
115166024740
122426a63209
1311b452038a
148312da129
154b00d3600
hex2d31ad369

12131685225 has 96 divisors (see below), whose sum is σ = 25369804800. Its totient is φ = 5626209600.

The previous prime is 12131685191. The next prime is 12131685253. The reversal of 12131685225 is 52258613121.

12131685225 is a `hidden beast` number, since 121 + 3 + 1 + 6 + 8 + 522 + 5 = 666.

It is not a de Polignac number, because 12131685225 - 26 = 12131685161 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12131685225.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135256 + ... + 206294.

It is an arithmetic number, because the mean of its divisors is an integer number (264268800).

Almost surely, 212131685225 is an apocalyptic number.

12131685225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12131685225 is an abundant number, since it is smaller than the sum of its proper divisors (13238119575).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12131685225 is a wasteful number, since it uses less digits than its factorization.

12131685225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71092 (or 71081 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 12131685225 in words is "twelve billion, one hundred thirty-one million, six hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 23 25 27 33 45 55 69 75 99 115 135 165 207 225 253 275 297 345 495 575 621 675 759 825 1035 1265 1485 1725 2277 2475 3105 3795 5175 6325 6831 7425 11385 15525 18975 34155 56925 71039 170775 213117 355195 639351 781429 1065585 1633897 1775975 1918053 2344287 3196755 3907145 4901691 5327925 7032861 8169485 9590265 11721435 14705073 15983775 17972867 19535725 21098583 24508455 35164305 40847425 44115219 47951325 53918601 58607175 73525365 89864335 105492915 122542275 161755803 175821525 220576095 269593005 367626825 449321675 485267409 527464575 808779015 1102880475 1347965025 2426337045 4043895075 12131685225