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13120144412301 = 325022172902717
BaseRepresentation
bin1011111011101100010110…
…0011000000111010001101
31201110021101102102001012200
42332323011203000322031
53204430023432143201
643523151112152113
72522620260302043
oct276730543007215
951407342361180
1013120144412301
1141a924952aa23
12157a931998639
137422bba66244
14335038600393
1517b442166386
hexbeec58c0e8d

13120144412301 has 12 divisors (see below), whose sum is σ = 18951363970812. Its totient is φ = 8746742511936.

The previous prime is 13120144412279. The next prime is 13120144412339. The reversal of 13120144412301 is 10321444102131.

It is a happy number.

13120144412301 is a `hidden beast` number, since 1 + 3 + 1 + 201 + 44 + 412 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7616639550276 + 5503504862025 = 2759826^2 + 2345955^2 .

It is not a de Polignac number, because 13120144412301 - 29 = 13120144411789 is a prime.

It is a super-2 number, since 2×131201444123012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120144412101) 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 11 ways as a sum of consecutive naturals, for example, 3068595 + ... + 5971311.

It is an arithmetic number, because the mean of its divisors is an integer number (1579280330901).

Almost surely, 213120144412301 is an apocalyptic number.

It is an amenable number.

13120144412301 is a deficient number, since it is larger than the sum of its proper divisors (5831219558511).

13120144412301 is a wasteful number, since it uses less digits than its factorization.

13120144412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3404940 (or 3404937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13120144412301 its reverse (10321444102131), we get a palindrome (23441588514432).

The spelling of 13120144412301 in words is "thirteen trillion, one hundred twenty billion, one hundred forty-four million, four hundred twelve thousand, three hundred one".

Divisors: 1 3 9 502217 1506651 2902717 4519953 8708151 26124453 1457793823589 4373381470767 13120144412301