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13011440301 = 323177196343
BaseRepresentation
bin11000001111000101…
…01101001010101101
31020120210022122121100
430013202231022231
5203121412042201
65551040153313
7640302263166
oct140742551255
936523278540
1013011440301
115577689752
122631608839
1312c4879002
148b60a676d
15512461886
hex3078ad2ad

13011440301 has 24 divisors (see below), whose sum is σ = 18882789120. Its totient is φ = 8633542176.

The previous prime is 13011440287. The next prime is 13011440327. The reversal of 13011440301 is 10304411031.

13011440301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13011440301 - 214 = 13011423917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011441301) 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 23 ways as a sum of consecutive naturals, for example, 2048136 + ... + 2054478.

It is an arithmetic number, because the mean of its divisors is an integer number (786782880).

Almost surely, 213011440301 is an apocalyptic number.

It is an amenable number.

13011440301 is a deficient number, since it is larger than the sum of its proper divisors (5871348819).

13011440301 is a wasteful number, since it uses less digits than its factorization.

13011440301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7385 (or 7382 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13011440301 its reverse (10304411031), we get a palindrome (23315851332).

The spelling of 13011440301 in words is "thirteen billion, eleven million, four hundred forty thousand, three hundred one".

Divisors: 1 3 9 317 719 951 2157 2853 6343 6471 19029 57087 227923 683769 2010731 2051307 4560617 6032193 13681851 18096579 41045553 1445715589 4337146767 13011440301