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13013113332 = 2231084426111
BaseRepresentation
bin11000001111010010…
…00101100111110100
31020120220110122120110
430013221011213310
5203122324111312
65551140103020
7640322431632
oct140751054764
936526418513
1013013113332
11557862171a
122632094a70
1312c501367b
148b63c0352
1551269243c
hex307a459f4

13013113332 has 12 divisors (see below), whose sum is σ = 30363931136. Its totient is φ = 4337704440.

The previous prime is 13013113291. The next prime is 13013113387. The reversal of 13013113332 is 23331131031.

13013113332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×130131133322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13013113299 and 13013113308.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 542213044 + ... + 542213067.

Almost surely, 213013113332 is an apocalyptic number.

13013113332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13013113332 is an abundant number, since it is smaller than the sum of its proper divisors (17350817804).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13013113332 is a wasteful number, since it uses less digits than its factorization.

13013113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084426118 (or 1084426116 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13013113332 its reverse (23331131031), we get a palindrome (36344244363).

The spelling of 13013113332 in words is "thirteen billion, thirteen million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 1084426111 2168852222 3253278333 4337704444 6506556666 13013113332