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12700824681 = 331713355231
BaseRepresentation
bin10111101010000011…
…10011010001101001
31012210010211202002010
423311001303101221
5202002402342211
65500142430133
7626511141246
oct136501632151
935703752063
1012700824681
115428314626
122565592349
13127540239c
14886b2c5cd
154e50574a6
hex2f5073469

12700824681 has 8 divisors (see below), whose sum is σ = 16987855104. Its totient is φ = 8440505360.

The previous prime is 12700824677. The next prime is 12700824691. The reversal of 12700824681 is 18642800721.

It is a happy number.

12700824681 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12700824681 - 22 = 12700824677 is a prime.

It is a super-2 number, since 2×127008246812 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12700824691) 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 7 ways as a sum of consecutive naturals, for example, 6676665 + ... + 6678566.

It is an arithmetic number, because the mean of its divisors is an integer number (2123481888).

Almost surely, 212700824681 is an apocalyptic number.

It is an amenable number.

12700824681 is a deficient number, since it is larger than the sum of its proper divisors (4287030423).

12700824681 is a wasteful number, since it uses less digits than its factorization.

12700824681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13355551.

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 12700824681 in words is "twelve billion, seven hundred million, eight hundred twenty-four thousand, six hundred eighty-one".

Divisors: 1 3 317 951 13355231 40065693 4233608227 12700824681