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12152314000 = 245317357421
BaseRepresentation
bin10110101000101010…
…11001100010010000
31011100220201111212201
423110111121202100
5144341443022000
65325510132544
7610100651611
oct132425314220
934326644781
1012152314000
115176734412
122431951154
1311b8893a58
14833d49c08
154b1d0a96a
hex2d4559890

12152314000 has 80 divisors (see below), whose sum is σ = 31112870256. Its totient is φ = 4574976000.

The previous prime is 12152313997. The next prime is 12152314033. The reversal of 12152314000 is 41325121.

It can be written as a sum of positive squares in 8 ways, for example, as 3472037776 + 8680276224 = 58924^2 + 93168^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144711 + ... + 212710.

Almost surely, 212152314000 is an apocalyptic number.

12152314000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12152314000 is an abundant number, since it is smaller than the sum of its proper divisors (18960556256).

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

12152314000 is a wasteful number, since it uses less digits than its factorization.

12152314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357461 (or 357445 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 12152314000 its reverse (41325121), we get a palindrome (12193639121).

The spelling of 12152314000 in words is "twelve billion, one hundred fifty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 357421 714842 1429684 1787105 2859368 3574210 5718736 6076157 7148420 8935525 12152314 14296840 17871050 24304628 28593680 30380785 35742100 44677625 48609256 60761570 71484200 89355250 97218512 121523140 142968400 151903925 178710500 243046280 303807850 357421000 486092560 607615700 714842000 759519625 1215231400 1519039250 2430462800 3038078500 6076157000 12152314000