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12681610137 = 327201295399
BaseRepresentation
bin10111100111110001…
…00000001110011001
31012201210200112200100
423303320200032121
5201432443011022
65454214530013
7626155623210
oct136370401631
935653615610
1012681610137
115418490439
12255b066909
131271435631
1488436a077
154e350e1ac
hex2f3e20399

12681610137 has 12 divisors (see below), whose sum is σ = 20934721600. Its totient is φ = 7246634328.

The previous prime is 12681610133. The next prime is 12681610141. The reversal of 12681610137 is 73101618621.

12681610137 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 1 + 610 + 1 + 37 = 666.

12681610137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12681610133) and next prime (12681610141).

It is not a de Polignac number, because 12681610137 - 22 = 12681610133 is a prime.

It is a super-2 number, since 2×126816101372 (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 (12681610133) 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 11 ways as a sum of consecutive naturals, for example, 100647637 + ... + 100647762.

Almost surely, 212681610137 is an apocalyptic number.

It is an amenable number.

12681610137 is a deficient number, since it is larger than the sum of its proper divisors (8253111463).

12681610137 is a wasteful number, since it uses less digits than its factorization.

12681610137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201295412 (or 201295409 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12681610137 in words is "twelve billion, six hundred eighty-one million, six hundred ten thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 21 63 201295399 603886197 1409067793 1811658591 4227203379 12681610137