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12515221242 = 2322375140253
BaseRepresentation
bin10111010011111011…
…10001111011111010
31012022012121010000200
423221331301323322
5201112344034432
65425512343030
7622065424326
oct135175617372
935265533020
1012515221242
115342574a57
1225133a4a76
131245b18b74
1486a216986
154d3ae3a7c
hex2e9f71efa

12515221242 has 48 divisors (see below), whose sum is σ = 28333663488. Its totient is φ = 3984948000.

The previous prime is 12515221231. The next prime is 12515221261. The reversal of 12515221242 is 24212251521.

12515221242 is a `hidden beast` number, since 1 + 2 + 515 + 22 + 124 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290788 + ... + 331040.

It is an arithmetic number, because the mean of its divisors is an integer number (590284656).

Almost surely, 212515221242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12515221242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166831744).

12515221242 is an abundant number, since it is smaller than the sum of its proper divisors (15818442246).

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

12515221242 is a wasteful number, since it uses less digits than its factorization.

12515221242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41035 (or 41032 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

Adding to 12515221242 its reverse (24212251521), we get a palindrome (36727472763).

The spelling of 12515221242 in words is "twelve billion, five hundred fifteen million, two hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 751 1502 2253 4506 6759 13518 17273 34546 40253 51819 80506 103638 120759 155457 241518 310914 362277 724554 925819 1851638 2777457 5554914 8332371 16664742 30230003 60460006 90690009 181380018 272070027 544140054 695290069 1390580138 2085870207 4171740414 6257610621 12515221242