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12701117305018 = 2172921133930869
BaseRepresentation
bin1011100011010011010110…
…0101011101000010111010
31122222012210200222110212201
42320310311211131002322
53131043342012230033
643002451315100414
72450424345535042
oct270646545350272
948865720873781
1012701117305018
11405757166827a
12151168a5a170a
1371193048904c
1431ca47448722
151705ba12b47d
hexb8d3595d0ba

12701117305018 has 48 divisors (see below), whose sum is σ = 21076837512120. Its totient is φ = 5719821750272.

The previous prime is 12701117305013. The next prime is 12701117305027. The reversal of 12701117305018 is 81050371110721.

It can be written as a sum of positive squares in 12 ways, for example, as 861716754369 + 11839400550649 = 928287^2 + 3440843^2 .

It is a super-2 number, since 2×127011173050182 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12701117305013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1265688 + ... + 5196556.

Almost surely, 212701117305018 is an apocalyptic number.

12701117305018 is a deficient number, since it is larger than the sum of its proper divisors (8375720207102).

12701117305018 is a wasteful number, since it uses less digits than its factorization.

12701117305018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3931059 (or 3931030 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 37.

Adding to 12701117305018 its reverse (81050371110721), we get a palindrome (93751488415739).

The spelling of 12701117305018 in words is "twelve trillion, seven hundred one billion, one hundred seventeen million, three hundred five thousand, eighteen".

Divisors: 1 2 17 29 34 58 113 226 493 841 986 1682 1921 3277 3842 6554 14297 28594 55709 95033 111418 190066 1615561 3231122 3930869 7861738 66824773 113995201 133649546 227990402 444188197 888376394 1937918417 3305860829 3875836834 6611721658 7551199349 12881457713 15102398698 25762915426 56199634093 112399268186 218984781121 373562273677 437969562242 747124547354 6350558652509 12701117305018