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12702161241 = 32711121715061
BaseRepresentation
bin10111101010001101…
…11001100101011001
31012210020100122111100
423311012321211121
5202003223124431
65500231222013
7626525406030
oct136506714531
935706318440
1012702161241
115429047820
122565b17909
13127577c853
14886d99717
154e521d4e6
hex2f51b9959

12702161241 has 48 divisors (see below), whose sum is σ = 22895203968. Its totient is φ = 6592665600.

The previous prime is 12702161239. The next prime is 12702161249. The reversal of 12702161241 is 14216120721.

12702161241 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 2 + 1 + 612 + 41 = 666.

It is not a de Polignac number, because 12702161241 - 21 = 12702161239 is a prime.

It is a super-2 number, since 2×127021612412 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12702161249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835851 + ... + 850911.

It is an arithmetic number, because the mean of its divisors is an integer number (476983416).

Almost surely, 212702161241 is an apocalyptic number.

12702161241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12702161241 is a deficient number, since it is larger than the sum of its proper divisors (10193042727).

12702161241 is a wasteful number, since it uses less digits than its factorization.

12702161241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16302 (or 16299 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 12702161241 its reverse (14216120721), we get a palindrome (26918281962).

The spelling of 12702161241 in words is "twelve billion, seven hundred two million, one hundred sixty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 1217 3651 8519 10953 13387 15061 25557 40161 45183 76671 93709 105427 120483 135549 165671 281127 316281 497013 843381 948843 1159697 1491039 3479091 10437273 18329237 54987711 128304659 164963133 201621607 384913977 604864821 1154741931 1411351249 1814594463 4234053747 12702161241