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110122201112 = 237111746122811
BaseRepresentation
bin110011010001111001…
…0110111000000011000
3101112020121100102210012
41212203302313000120
53301012240413422
6122331152541052
710645634156630
oct1464362670030
9345217312705
10110122201112
1142780125670
1219413851788
13a4cc914961
1454895136c0
152ce7bd54e2
hex19a3cb7018

110122201112 has 128 divisors (see below), whose sum is σ = 273174612480. Its totient is φ = 40291584000.

The previous prime is 110122201097. The next prime is 110122201121. The reversal of 110122201112 is 211102221011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4816187 + ... + 4838997.

It is an arithmetic number, because the mean of its divisors is an integer number (2134176660).

Almost surely, 2110122201112 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 110122201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136587306240).

110122201112 is an abundant number, since it is smaller than the sum of its proper divisors (163052411368).

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

110122201112 is a wasteful number, since it uses less digits than its factorization.

110122201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23313 (or 23309 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 110122201112 its reverse (211102221011), we get a palindrome (321224422123).

The spelling of 110122201112 in words is "one hundred ten billion, one hundred twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 461 476 616 748 922 952 1309 1496 1844 2618 3227 3688 5071 5236 6454 7837 10142 10472 12908 15674 20284 22811 25816 31348 35497 40568 45622 54859 62696 70994 86207 91244 109718 141988 159677 172414 182488 219436 250921 283976 319354 344828 387787 438872 501842 603449 638708 689656 775574 1003684 1206898 1277416 1551148 1756447 2007368 2413796 2714509 3102296 3512894 4265657 4827592 5429018 7025788 8531314 10515871 10858036 14051576 17062628 21031742 21716072 29859599 34125256 42063484 59719198 73611097 84126968 115674581 119438396 147222194 178769807 231349162 238876792 294444388 357539614 462698324 588888776 715079228 809722067 925396648 1251388649 1430158456 1619444134 1966467877 2502777298 3238888268 3932935754 5005554596 6477776536 7865871508 10011109192 13765275139 15731743016 27530550278 55061100556 110122201112