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13111006452 = 2233161577781
BaseRepresentation
bin11000011010111101…
…00001010011110100
31020211201200010200120
430031132201103310
5203322404201302
610004554211540
7642621500415
oct141536412364
936751603616
1013111006452
115618904225
12265aa23bb0
13130c39a1ab
148c53c380c
1551b07c9bc
hex30d7a14f4

13111006452 has 48 divisors (see below), whose sum is σ = 32096945664. Its totient is φ = 4160016000.

The previous prime is 13111006451. The next prime is 13111006463. The reversal of 13111006452 is 25460011131.

It is a happy number.

13111006452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111006451) 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 15 ways as a sum of consecutive naturals, for example, 266199 + ... + 311582.

It is an arithmetic number, because the mean of its divisors is an integer number (668686368).

Almost surely, 213111006452 is an apocalyptic number.

13111006452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13111006452 is an abundant number, since it is smaller than the sum of its proper divisors (18985939212).

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

13111006452 is a wasteful number, since it uses less digits than its factorization.

13111006452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577880 (or 577878 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 13111006452 its reverse (25460011131), we get a palindrome (38571017583).

The spelling of 13111006452 in words is "thirteen billion, one hundred eleven million, six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 31 61 62 93 122 124 183 186 244 366 372 732 1891 3782 5673 7564 11346 22692 577781 1155562 1733343 2311124 3466686 6933372 17911211 35244641 35822422 53733633 70489282 71644844 105733923 107467266 140978564 211467846 214934532 422935692 1092583871 2185167742 3277751613 4370335484 6555503226 13111006452