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11020220212122 = 23211735231145753
BaseRepresentation
bin1010000001011101100001…
…0011111010001110011010
31110000112010002112212210200
42200113120103322032122
52421023402333241442
635234341432523030
72215120221146142
oct240273023721632
943015102485720
1011020220212122
113569716016620
12129b961550476
1361c282611b04
142a154abc1922
151419db92334c
hexa05d84fa39a

11020220212122 has 96 divisors (see below), whose sum is σ = 26409841226496. Its totient is φ = 3293062387200.

The previous prime is 11020220212081. The next prime is 11020220212123. The reversal of 11020220212122 is 22121202202011.

It is a happy number.

11020220212122 is a `hidden beast` number, since 110 + 2 + 0 + 220 + 212 + 122 = 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 = 11020220212095 and 11020220212104.

It is not an unprimeable number, because it can be changed into a prime (11020220212123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75535998 + ... + 75681750.

It is an arithmetic number, because the mean of its divisors is an integer number (275102512776).

Almost surely, 211020220212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11020220212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204920613248).

11020220212122 is an abundant number, since it is smaller than the sum of its proper divisors (15389621014374).

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

11020220212122 is a wasteful number, since it uses less digits than its factorization.

11020220212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151076 (or 151073 counting only the distinct ones).

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

Adding to 11020220212122 its reverse (22121202202011), we get a palindrome (33141422414133).

The spelling of 11020220212122 in words is "eleven trillion, twenty billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 146 198 219 438 657 803 1314 1606 2409 4818 5231 7227 10462 14454 15693 31386 47079 57541 94158 115082 145753 172623 291506 345246 381863 437259 517869 763726 874518 1035738 1145589 1311777 1603283 2291178 2623554 3206566 3436767 4200493 4809849 6873534 8400986 9619698 10639969 12601479 14429547 21279938 25202958 28859094 31919907 37804437 63839814 75608874 95759721 117039659 191519442 234079318 351118977 702237954 762433943 1053356931 1524867886 2106713862 2287301829 4574603658 6861905487 8386773373 13723810974 16773546746 25160320119 50320640238 55657677839 75480960357 111315355678 150961920714 166973033517 333946067034 500919100551 612234456229 1001838201102 1224468912458 1836703368687 3673406737374 5510110106061 11020220212122