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11202120220122 = 23313181608914479
BaseRepresentation
bin1010001100000011001001…
…1001010111110111011010
31110122220122000111201001000
42203000302121113313122
52432013420234020442
635454103305205430
72234216660541156
oct243006231276732
943586560451030
1011202120220122
113629879909947
12130b067490876
13633480a90740
142aa285088066
151465d5d3bd4c
hexa3032657dda

11202120220122 has 128 divisors (see below), whose sum is σ = 26962895232000. Its totient is φ = 3426963448320.

The previous prime is 11202120220091. The next prime is 11202120220133. The reversal of 11202120220122 is 22102202120211.

It is a happy number.

11202120220122 is a `hidden beast` number, since 1 + 1 + 202 + 120 + 220 + 122 = 666.

11202120220122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11202120220095 and 11202120220104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 773673279 + ... + 773687757.

It is an arithmetic number, because the mean of its divisors is an integer number (210647619000).

Almost surely, 211202120220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11202120220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13481447616000).

11202120220122 is an abundant number, since it is smaller than the sum of its proper divisors (15760775011878).

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

11202120220122 is a wasteful number, since it uses less digits than its factorization.

11202120220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20773 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11202120220122 its reverse (22102202120211), we get a palindrome (33304322340333).

The spelling of 11202120220122 in words is "eleven trillion, two hundred two billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 181 234 351 362 543 702 1086 1629 2353 3258 4706 4887 6089 7059 9774 12178 14118 14479 18267 21177 28958 36534 42354 43437 54801 63531 79157 86874 109602 127062 130311 158314 164403 188227 237471 260622 328806 376454 390933 474942 564681 712413 781866 1102109 1129362 1424826 1694043 2137239 2204218 2620699 3306327 3388086 4274478 5082129 5241398 6612654 7862097 9918981 10164258 14327417 15724194 19837962 23586291 28654834 29756943 34069087 42982251 47172582 59513886 68138174 70758873 85964502 88162631 102207261 128946753 141517746 176325262 204414522 257893506 264487893 306621783 386840259 528975786 613243566 773680518 793463679 919865349 1146114203 1586927358 1839730698 2292228406 2380391037 3438342609 4760782074 6876685218 10315027827 15957436211 20630055654 30945083481 31914872422 47872308633 61890166962 95744617266 143616925899 207446670743 287233851798 414893341486 430850777697 622340012229 861701555394 1244680024458 1867020036687 3734040073374 5601060110061 11202120220122