Search a number
-
+
110112211112022 = 233741934400401
BaseRepresentation
bin11001000010010101111111…
…001110101001000001010110
3112102212121212022112212222000
4121002111333032221001112
5103413034302021041042
61030104503525220130
732123226145320000
oct3102257716510126
9472777768485860
10110112211112022
11320a336560a509
1210424598861646
1349596c98c0772
141d29660a55370
15cae4109be74c
hex64257f3a9056

110112211112022 has 160 divisors (see below), whose sum is σ = 286938245326560. Its totient is φ = 31297616179200.

The previous prime is 110112211111979. The next prime is 110112211112023. The reversal of 110112211112022 is 220211112211011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 110112211111986 and 110112211112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110112211112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22823022 + ... + 27223422.

It is an arithmetic number, because the mean of its divisors is an integer number (1793364033291).

Almost surely, 2110112211112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112211112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143469122663280).

110112211112022 is an abundant number, since it is smaller than the sum of its proper divisors (176826034214538).

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

110112211112022 is an equidigital number, since it uses as much as digits as its factorization.

110112211112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4400633 (or 4400606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 110112211112022 its reverse (220211112211011), we get a palindrome (330323323323033).

The spelling of 110112211112022 in words is "one hundred ten trillion, one hundred twelve billion, two hundred eleven million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 193 294 343 378 386 441 579 686 882 1029 1158 1323 1351 1737 2058 2401 2646 2702 3087 3474 4053 4802 5211 6174 7203 8106 9261 9457 10422 12159 14406 18522 18914 21609 24318 28371 36477 43218 56742 64827 66199 72954 85113 129654 132398 170226 198597 255339 397194 463393 510678 595791 926786 1191582 1390179 1787373 2780358 3574746 4170537 4400401 8341074 8800802 12511611 13201203 25023222 26402406 30802807 39603609 61605614 79207218 92408421 118810827 184816842 215619649 237621654 277225263 431239298 554450526 646858947 831675789 849277393 1293717894 1509337543 1663351578 1698554786 1940576841 2547832179 3018675086 3881153682 4528012629 5095664358 5821730523 5944941751 7643496537 9056025258 10565362801 11643461046 11889883502 13584037887 15286993074 17834825253 21130725602 22930489611 27168075774 31696088403 35669650506 40752113661 41614592257 45860979222 53504475759 63392176806 81504227322 83229184514 95088265209 107008951518 124843776771 160513427277 190176530418 249687553542 285264795627 291302145799 321026854554 374531330313 570529591254 582604291598 749062660626 873906437397 1123593990939 1747812874794 2039115020593 2247187981878 2621719312191 4078230041186 5243438624382 6117345061779 7865157936573 12234690123558 15730315873146 18352035185337 36704070370674 55056105556011 110112211112022