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12157047081 = 34122512
BaseRepresentation
bin10110101001001110…
…11101000100101001
31011101020121222110000
423110213131010221
5144344201001311
65330155413213
7610156123644
oct132447350451
934336558400
1012157047081
115179377453
122433454209
1311b98601aa
1483481ca5b
154b2443056
hex2d49dd129

12157047081 has 15 divisors (see below), whose sum is σ = 18162009613. Its totient is φ = 8104036500.

The previous prime is 12157047013. The next prime is 12157047113. The reversal of 12157047081 is 18074075121.

The square root of 12157047081 is 110259.

It is a perfect power (a square), and thus also a powerful number.

12157047081 is a `hidden beast` number, since 1 + 2 + 1 + 570 + 4 + 7 + 0 + 81 = 666.

12157047081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12157047081 - 233 = 3567112489 is a prime.

It is a super-2 number, since 2×121570470812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12157047011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 986206 + ... + 998456.

Almost surely, 212157047081 is an apocalyptic number.

12157047081 is the 110259-th square number.

12157047081 is the 55130-th centered octagonal number.

It is an amenable number.

12157047081 is a deficient number, since it is larger than the sum of its proper divisors (6004962532).

12157047081 is an frugal number, since it uses more digits than its factorization.

12157047081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24514 (or 12254 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Multiplying 12157047081 by its sum of digits (36), we get a square (437653694916 = 6615542).

The spelling of 12157047081 in words is "twelve billion, one hundred fifty-seven million, forty-seven thousand, eighty-one".

Divisors: 1 3 9 27 81 12251 36753 110259 330777 992331 150087001 450261003 1350783009 4052349027 12157047081