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11110112442 = 23411131728211
BaseRepresentation
bin10100101100011011…
…01101110010111010
31001200021122012010000
422112031231302322
5140223142044232
65034240133430
7542214253242
oct122615556272
931607565100
1011110112442
114791406a10
1221a0907276
13108099bc40
14775774b22
1545059027c
hex29636dcba

11110112442 has 160 divisors (see below), whose sum is σ = 30968650944. Its totient is φ = 2924812800.

The previous prime is 11110112399. The next prime is 11110112449. The reversal of 11110112442 is 24421101111.

11110112442 is a `hidden beast` number, since 1 + 1 + 110 + 112 + 442 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11110112449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379717 + ... + 407927.

Almost surely, 211110112442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15484325472).

11110112442 is an abundant number, since it is smaller than the sum of its proper divisors (19858538502).

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

11110112442 is a wasteful number, since it uses less digits than its factorization.

11110112442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266 (or 28257 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11110112442 its reverse (24421101111), we get a palindrome (35531213553).

The spelling of 11110112442 in words is "eleven billion, one hundred ten million, one hundred twelve thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 33 34 39 51 54 66 78 81 99 102 117 143 153 162 187 198 221 234 286 297 306 351 374 429 442 459 561 594 663 702 858 891 918 1053 1122 1287 1326 1377 1683 1782 1989 2106 2431 2574 2754 3366 3861 3978 4862 5049 5967 7293 7722 10098 11583 11934 14586 15147 17901 21879 23166 28211 30294 35802 43758 56422 65637 84633 131274 169266 196911 253899 310321 366743 393822 479587 507798 620642 733486 761697 930963 959174 1100229 1438761 1523394 1861926 2200458 2285091 2792889 2877522 3300687 4034173 4316283 4570182 5275457 5585778 6234631 6601374 8068346 8378667 8632566 9902061 10550914 12102519 12469262 12948849 15826371 16757334 18703893 19804122 24205038 25136001 25897698 29706183 31652742 36307557 37407786 38846547 47479113 50272002 56111679 59412366 68580941 72615114 77693094 94958226 108922671 112223358 137161882 142437339 168335037 205742823 217845342 284874678 326768013 336670074 411485646 427312017 505005111 617228469 653536026 854624034 1010010222 1234456938 1851685407 3703370814 5555056221 11110112442