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12418360006013 = 137433124941143
BaseRepresentation
bin1011010010110101111111…
…1011111101010101111101
31121222011221212020102012222
42310231133323331111331
53111430300130143023
642224525452535125
72421124352255603
oct264553773752575
947864855212188
1012418360006013
113a58662528495
1214869177814a5
136c107aa08bc0
1430d0a2321873
1516806b5d5cc8
hexb4b5fefd57d

12418360006013 has 16 divisors (see below), whose sum is σ = 13392372000000. Its totient is φ = 11447028843264.

The previous prime is 12418360005991. The next prime is 12418360006021. The reversal of 12418360006013 is 31060006381421.

It is a cyclic number.

It is not a de Polignac number, because 12418360006013 - 210 = 12418360004989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12418360036013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301813520 + ... + 301854662.

It is an arithmetic number, because the mean of its divisors is an integer number (837023250000).

Almost surely, 212418360006013 is an apocalyptic number.

12418360006013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12418360006013 is a deficient number, since it is larger than the sum of its proper divisors (974011993987).

12418360006013 is a wasteful number, since it uses less digits than its factorization.

12418360006013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73148.

The product of its (nonzero) digits is 20736, while the sum is 35.

Adding to 12418360006013 its reverse (31060006381421), we get a palindrome (43478366387434).

The spelling of 12418360006013 in words is "twelve trillion, four hundred eighteen billion, three hundred sixty million, six thousand, thirteen".

Divisors: 1 13 743 9659 31249 41143 406237 534859 23218007 30569249 301834091 397400237 1285677607 16713808891 955258462001 12418360006013