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13520111424 = 263179742703
BaseRepresentation
bin11001001011101110…
…01000011101000000
31021220020110211012120
430211313020131000
5210142122031144
610113330524240
7656020023321
oct144567103500
937806424176
1013520111424
115808828906
122753a36680
131376078b41
14923878448
15541e3de19
hex325dc8740

13520111424 has 112 divisors (see below), whose sum is σ = 38267566848. Its totient is φ = 4197777408.

The previous prime is 13520111399. The next prime is 13520111443. The reversal of 13520111424 is 42411102531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13520111394 and 13520111403.

It is a congruent number.

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, 295257 + ... + 337959.

It is an arithmetic number, because the mean of its divisors is an integer number (341674704).

Almost surely, 213520111424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13520111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19133783424).

13520111424 is an abundant number, since it is smaller than the sum of its proper divisors (24747455424).

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

13520111424 is a wasteful number, since it uses less digits than its factorization.

13520111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42832 (or 42822 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13520111424 its reverse (42411102531), we get a palindrome (55931213955).

The spelling of 13520111424 in words is "thirteen billion, five hundred twenty million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 97 102 136 192 194 204 272 291 388 408 544 582 776 816 1088 1164 1552 1632 1649 2328 3104 3264 3298 4656 4947 6208 6596 9312 9894 13192 18624 19788 26384 39576 42703 52768 79152 85406 105536 128109 158304 170812 256218 316608 341624 512436 683248 725951 1024872 1366496 1451902 2049744 2177853 2732992 2903804 4099488 4142191 4355706 5807608 8198976 8284382 8711412 11615216 12426573 16568764 17422824 23230432 24853146 33137528 34845648 46460864 49706292 66275056 69691296 70417247 99412584 132550112 139382592 140834494 198825168 211251741 265100224 281668988 397650336 422503482 563337976 795300672 845006964 1126675952 1690013928 2253351904 3380027856 4506703808 6760055712 13520111424