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13111003024 = 2471713750263
BaseRepresentation
bin11000011010111101…
…00000011110010000
31020211201122221222121
430031132200132100
5203322404044044
610004554144024
7642621454420
oct141536403620
936751587877
1013111003024
115618901699
12265aa22014
13130c398772
148c53c2480
1551b07b984
hex30d7a0790

13111003024 has 80 divisors (see below), whose sum is σ = 30964232448. Its totient is φ = 5249765376.

The previous prime is 13111003019. The next prime is 13111003039. The reversal of 13111003024 is 42030011131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13111002989 and 13111003007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235717 + ... + 285979.

Almost surely, 213111003024 is an apocalyptic number.

13111003024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111003024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482116224).

13111003024 is an abundant number, since it is smaller than the sum of its proper divisors (17853229424).

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

13111003024 is a wasteful number, since it uses less digits than its factorization.

13111003024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50432 (or 50426 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13111003024 its reverse (42030011131), we get a palindrome (55141014155).

The spelling of 13111003024 in words is "thirteen billion, one hundred eleven million, three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 137 238 272 274 476 548 952 959 1096 1904 1918 2192 2329 3836 4658 7672 9316 15344 16303 18632 32606 37264 50263 65212 100526 130424 201052 260848 351841 402104 703682 804208 854471 1407364 1708942 2814728 3417884 5629456 5981297 6835768 6886031 11962594 13671536 13772062 23925188 27544124 47850376 48202217 55088248 95700752 96404434 110176496 117062527 192808868 234125054 385617736 468250108 771235472 819437689 936500216 1638875378 1873000432 3277750756 6555501512 13111003024