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12731201527225 = 521922114966701
BaseRepresentation
bin1011100101000011011010…
…1111101001110110111001
31200002002110022202022101211
42321100312233221312321
53132042000042332400
643024344440243121
72452541020313506
oct271206657516671
950062408668354
1012731201527225
1140692aa3a6735
1215174857704a1
1371471612c26c
1432029cb384ad
1517127b33edba
hexb9436be9db9

12731201527225 has 36 divisors (see below), whose sum is σ = 16662336360300. Its totient is φ = 9648309744000.

The previous prime is 12731201527207. The next prime is 12731201527249. The reversal of 12731201527225 is 52272510213721.

It can be written as a sum of positive squares in 6 ways, for example, as 2777252247081 + 9953949280144 = 1666509^2 + 3154988^2 .

It is not a de Polignac number, because 12731201527225 - 219 = 12731201002937 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190836375 + ... + 190903075.

It is an arithmetic number, because the mean of its divisors is an integer number (462842676675).

Almost surely, 212731201527225 is an apocalyptic number.

It is an amenable number.

12731201527225 is a deficient number, since it is larger than the sum of its proper divisors (3931134833075).

12731201527225 is a wasteful number, since it uses less digits than its factorization.

12731201527225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87898 (or 87874 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The spelling of 12731201527225 in words is "twelve trillion, seven hundred thirty-one billion, two hundred one million, five hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 361 475 1805 9025 21149 66701 105745 333505 401831 528725 1267319 1667525 2009155 6336595 7634789 10045775 24079061 31682975 38173945 120395305 190869725 601976525 1410659449 7053297245 26802529531 35266486225 134012647655 509248061089 670063238275 2546240305445 12731201527225