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1116105522 = 237174779421
BaseRepresentation
bin100001010000110…
…0110101100110010
32212210011000221120
41002201212230302
54241210334042
6302430003110
736441511650
oct10241465462
92783130846
101116105522
11523015664
12271946496
1314a2cc58c
14a8331dd0
1567eb7dec
hex42866b32

1116105522 has 128 divisors (see below), whose sum is σ = 2800189440. Its totient is φ = 289336320.

The previous prime is 1116105451. The next prime is 1116105527. The reversal of 1116105522 is 2255016111.

It is a junction number, because it is equal to n+sod(n) for n = 1116105492 and 1116105501.

It is not an unprimeable number, because it can be changed into a prime (1116105527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2650872 + ... + 2651292.

It is an arithmetic number, because the mean of its divisors is an integer number (21876480).

Almost surely, 21116105522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116105522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400094720).

1116105522 is an abundant number, since it is smaller than the sum of its proper divisors (1684083918).

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

1116105522 is a wasteful number, since it uses less digits than its factorization.

1116105522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576.

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1116105522 is about 33408.1654988717. The cubic root of 1116105522 is about 1037.2937288094.

The spelling of 1116105522 in words is "one billion, one hundred sixteen million, one hundred five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 47 51 79 94 102 119 141 158 237 238 282 329 357 421 474 553 658 714 799 842 987 1106 1263 1343 1598 1659 1974 2397 2526 2686 2947 3318 3713 4029 4794 5593 5894 7157 7426 8058 8841 9401 11139 11186 14314 16779 17682 18802 19787 21471 22278 25991 28203 33259 33558 39574 42942 50099 51982 56406 59361 63121 66518 77973 99777 100198 118722 126242 138509 150297 155946 189363 199554 232813 277018 300594 336379 378726 415527 441847 465626 565403 672758 698439 831054 883694 1009137 1130806 1325541 1396878 1563173 1696209 2018274 2354653 2651082 3126346 3392418 3957821 4689519 4709306 7063959 7915642 9379038 10942211 11873463 14127918 21884422 23746926 26573941 32826633 53147882 65653266 79721823 159443646 186017587 372035174 558052761 1116105522