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11021021122122 = 2341128344814877
BaseRepresentation
bin1010000001100000100000…
…0011001000111001001010
31110000121011220121022210000
42200120020003020321022
52421032022401401442
635234553123103430
72215146114602544
oct240301003107112
943017156538700
1011021021122122
113569a97119110
12129bb45811b76
1361c37c522c5b
142a15c5306694
15141a36dc9d4c
hexa06080c8e4a

11021021122122 has 160 divisors (see below), whose sum is σ = 27047047224384. Its totient is φ = 3326477414400.

The previous prime is 11021021122087. The next prime is 11021021122127. The reversal of 11021021122122 is 22122112012011.

11021021122122 is a `hidden beast` number, since 1 + 1 + 0 + 210 + 211 + 221 + 22 = 666.

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 = 11021021122095 and 11021021122104.

It is not an unprimeable number, because it can be changed into a prime (11021021122127) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2259792748 + ... + 2259797624.

Almost surely, 211021021122122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021021122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523523612192).

11021021122122 is an abundant number, since it is smaller than the sum of its proper divisors (16026026102262).

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

11021021122122 is a wasteful number, since it uses less digits than its factorization.

11021021122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 9657 counting only the distinct ones).

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

Adding to 11021021122122 its reverse (22122112012011), we get a palindrome (33143133134133).

The spelling of 11021021122122 in words is "eleven trillion, twenty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 283 297 566 594 849 891 1698 1782 2547 3113 4481 4877 5094 6226 7641 8962 9339 9754 13443 14631 15282 18678 22923 26886 28017 29262 40329 43893 45846 49291 53647 56034 80658 84051 87786 98582 107294 120987 131679 147873 160941 168102 241974 252153 263358 295746 321882 362961 395037 443619 482823 504306 725922 790074 887238 965646 1268123 1330857 1380191 1448469 2536246 2661714 2760382 2896938 3804369 3992571 4140573 4345407 7608738 7985142 8281146 8690814 11413107 12421719 13949353 15182101 21853837 22826214 24843438 27898706 30364202 34239321 37265157 41848059 43707674 45546303 65561511 68478642 74530314 83696118 91092606 102717963 111795471 125544177 131123022 136638909 196684533 205435926 223590942 240392207 251088354 273277818 376632531 393369066 409916727 480784414 590053599 721176621 753265062 819833454 1129897593 1180107198 1229750181 1442353242 1770160797 2163529863 2259795186 2459500362 3540321594 4327059726 6184635871 6490589589 12369271742 12981179178 18553907613 19471768767 37107815226 38943537534 55661722839 68030994581 111323445678 136061989162 166985168517 204092983743 333970337034 408185967486 500955505551 612278951229 1001911011102 1224557902458 1836836853687 3673673707374 5510510561061 11021021122122