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11112101442 = 23213172374441
BaseRepresentation
bin10100101100101010…
…10011011001000010
31001200102101020111200
422112111103121002
5140224144221232
65034350522030
7542240206131
oct122625233102
931612336450
1011112101442
114792545312
1221a1506316
131081217370
14775b31918
1545083477c
hex296553642

11112101442 has 144 divisors (see below), whose sum is σ = 28293923112. Its totient is φ = 3130306560.

The previous prime is 11112101437. The next prime is 11112101471. The reversal of 11112101442 is 24410121111.

11112101442 is a `hidden beast` number, since 1 + 1 + 11 + 210 + 1 + 442 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4207987161 + 6904114281 = 64869^2 + 83091^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2499942 + ... + 2504382.

Almost surely, 211112101442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112101442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14146961556).

11112101442 is an abundant number, since it is smaller than the sum of its proper divisors (17181821670).

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

11112101442 is a wasteful number, since it uses less digits than its factorization.

11112101442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4513 counting only the distinct ones).

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

Adding to 11112101442 its reverse (24410121111), we get a palindrome (35522222553).

The spelling of 11112101442 in words is "eleven billion, one hundred twelve million, one hundred one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 37 39 51 74 78 102 111 117 153 221 222 234 289 306 333 442 481 578 629 663 666 867 962 1258 1326 1443 1734 1887 1989 2601 2886 3757 3774 3978 4329 4441 5202 5661 7514 8177 8658 8882 10693 11271 11322 13323 16354 21386 22542 24531 26646 32079 33813 39969 49062 57733 64158 67626 73593 75497 79938 96237 115466 139009 147186 150994 164317 173199 192474 226491 278018 328634 346398 417027 452982 492951 519597 679473 834054 981461 985902 1039194 1251081 1283449 1358946 1478853 1962922 2136121 2502162 2566898 2793389 2944383 2957706 3850347 4272242 5586778 5888766 6408363 7700694 8380167 8833149 11551041 12816726 16684837 16760334 17666298 19225089 23102082 25140501 33369674 36314057 38450178 47487613 50054511 50281002 72628114 94975226 100109022 108942171 142462839 150163533 217884342 284925678 300327066 326826513 427388517 617338969 653653026 854777034 1234677938 1852016907 3704033814 5556050721 11112101442