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11102020222120 = 23567139193154417
BaseRepresentation
bin1010000110001110001111…
…1110001011110010101000
31110022100020212200221022121
42201203203332023302220
52423343414134101440
635340110411001024
72224044260566252
oct241434376136250
943270225627277
1011102020222120
1135a0381a93873
1212b3790139174
13626bba63b3a9
142a54aaa36cd2
15143bc7e4d34a
hexa18e3f8bca8

11102020222120 has 128 divisors (see below), whose sum is σ = 25667236425600. Its totient is φ = 4320525090816.

The previous prime is 11102020222103. The next prime is 11102020222123. The reversal of 11102020222120 is 2122202020111.

It is a happy number.

11102020222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111020202221202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11102020222094 and 11102020222103.

It is not an unprimeable number, because it can be changed into a prime (11102020222123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71819152 + ... + 71973568.

It is an arithmetic number, because the mean of its divisors is an integer number (200525284575).

Almost surely, 211102020222120 is an apocalyptic number.

11102020222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12833618212800).

11102020222120 is an abundant number, since it is smaller than the sum of its proper divisors (14565216203480).

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

11102020222120 is a wasteful number, since it uses less digits than its factorization.

11102020222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154827 (or 154823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11102020222120 its reverse (2122202020111), we get a palindrome (13224222242231).

The spelling of 11102020222120 in words is "eleven trillion, one hundred two billion, twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 139 193 268 278 335 386 536 556 670 695 772 965 1112 1340 1390 1544 1930 2680 2780 3860 5560 7720 9313 12931 18626 25862 26827 37252 46565 51724 53654 64655 74504 93130 103448 107308 129310 134135 154417 186260 214616 258620 268270 308834 372520 517240 536540 617668 772085 1073080 1235336 1544170 1797409 3088340 3594818 6176680 7189636 8987045 10345939 14379272 17974090 20691878 21463963 29802481 35948180 41383756 42927926 51729695 59604962 71896360 82767512 85855852 103459390 107319815 119209924 149012405 171711704 206918780 214639630 238419848 298024810 413837560 429279260 596049620 858558520 1192099240 1438085521 1996766227 2876171042 3993532454 4142544859 5752342084 7190427605 7987064908 8285089718 9983831135 11504684168 14380855210 15974129816 16570179436 19967662270 20712724295 28761710420 33140358872 39935324540 41425448590 57523420840 79870649080 82850897180 165701794360 277550505553 555101011106 1110202022212 1387752527765 2220404044424 2775505055530 5551010111060 11102020222120