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11111121021012 = 22341832711004027
BaseRepresentation
bin1010000110110000001001…
…1010111110100001010100
31110100012202010110102102020
42201230002122332201110
52424021033440133022
635344213432413140
72224515636240525
oct241540232764124
943305663412366
1011111121021012
1135a4222171771
1212b54abb471b0
13627a0ac519ac
142a5ad15aa84c
1514405bddb35c
hexa1b026be854

11111121021012 has 96 divisors (see below), whose sum is σ = 26977477330944. Its totient is φ = 3556661702400.

The previous prime is 11111121021001. The next prime is 11111121021019. The reversal of 11111121021012 is 21012012111111.

It is a junction number, because it is equal to n+sod(n) for n = 11111121020982 and 11111121021000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111121021019) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10564543 + ... + 11568569.

It is an arithmetic number, because the mean of its divisors is an integer number (281015388864).

Almost surely, 211111121021012 is an apocalyptic number.

11111121021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11111121021012 is an abundant number, since it is smaller than the sum of its proper divisors (15866356309932).

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

11111121021012 is a wasteful number, since it uses less digits than its factorization.

11111121021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004429 (or 1004427 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11111121021012 its reverse (21012012111111), we get a palindrome (32123133132123).

The spelling of 11111121021012 in words is "eleven trillion, one hundred eleven billion, one hundred twenty-one million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 83 123 164 166 246 249 271 332 492 498 542 813 996 1084 1626 3252 3403 6806 10209 11111 13612 20418 22222 22493 33333 40836 44444 44986 66666 67479 89972 133332 134958 269916 922213 1004027 1844426 2008054 2766639 3012081 3688852 4016108 5533278 6024162 11066556 12048324 41165107 82330214 83334241 123495321 164660428 166668482 246990642 250002723 272091317 333336964 493981284 500005446 544182634 816273951 1000010892 1088365268 1632547902 3265095804 3416703881 6833407762 10250111643 11155743997 13666815524 20500223286 22311487994 22583579311 33467231991 41000446572 44622975988 45167158622 66934463982 67750737933 90334317244 133868927964 135501475866 271002951732 925926751751 1851853503502 2777780255253 3703707007004 5555560510506 11111121021012