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11020020021122 = 27359799735531
BaseRepresentation
bin1010000001011100110001…
…1000001111011110000010
31110000111121010212010101012
42200113030120033132002
52421023000111133442
635234305522040522
72215112240435000
oct240271430173602
943014533763335
1011020020021122
113569623013112
12129b9064a9142
1361c24ccbb8b8
142a152c38da70
151419c907c582
hexa05cc60f782

11020020021122 has 128 divisors (see below), whose sum is σ = 20057103360000. Its totient is φ = 4536661409280.

The previous prime is 11020020021097. The next prime is 11020020021149. The reversal of 11020020021122 is 22112002002011.

It is a super-3 number, since 3×110200200211223 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 11020020021097 and 11020020021106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 310134497 + ... + 310170027.

It is an arithmetic number, because the mean of its divisors is an integer number (156696120000).

Almost surely, 211020020021122 is an apocalyptic number.

11020020021122 is a deficient number, since it is larger than the sum of its proper divisors (9037083338878).

11020020021122 is an equidigital number, since it uses as much as digits as its factorization.

11020020021122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35789 (or 35775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11020020021122 its reverse (22112002002011), we get a palindrome (33132022023133).

The spelling of 11020020021122 in words is "eleven trillion, twenty billion, twenty million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 49 59 79 97 98 118 158 194 343 413 553 679 686 826 1106 1358 2891 3871 4661 4753 5723 5782 7663 7742 9322 9506 11446 15326 20237 27097 32627 33271 35531 40061 40474 53641 54194 65254 66542 71062 80122 107282 228389 248717 280427 375487 452117 456778 497434 560854 750974 904234 1598723 1741019 1962989 2096329 2628409 2806949 3164819 3197446 3446507 3482038 3925978 4192658 5256818 5613898 6329638 6893014 12187133 14674303 19648643 22153733 24125549 24374266 29348606 39297286 44307466 48251098 102720121 137540501 155076131 165609991 168878843 203343913 205440242 272274053 275081002 310152262 331219982 337757686 406687826 544548106 719040847 962783507 1159269937 1182151901 1423407391 1438081694 1905918371 1925567014 2318539874 2364303802 2846814782 3811836742 8114889559 9963851737 13341428597 16064169127 16229779118 19927703474 26682857194 32128338254 56804226913 69746962159 93390000179 112449183889 113608453826 139493924318 186780000358 224898367778 787144287223 1574288574446 5510010010561 11020020021122