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1011212120112 = 243113433557773
BaseRepresentation
bin11101011011100001111…
…00000111000000110000
310120200010010000010210220
432231300330013000300
5113031430300320422
62052313333053040
7133025531125605
oct16556074070060
93520103003726
101011212120112
1135a941974767
12143b90a87180
137448413203c
1436d2b5726ac
151b485c55e5c
hexeb70f07030

1011212120112 has 160 divisors (see below), whose sum is σ = 2649667785408. Its totient is φ = 332287377408.

The previous prime is 1011212120071. The next prime is 1011212120159. The reversal of 1011212120112 is 2110212121101.

It is a happy number.

It is a super-2 number, since 2×10112121201122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011212120091 and 1011212120100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1308165358 + ... + 1308166130.

Almost surely, 21011212120112 is an apocalyptic number.

1011212120112 is a gapful number since it is divisible by the number (12) 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 1011212120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324833892704).

1011212120112 is an abundant number, since it is smaller than the sum of its proper divisors (1638455665296).

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

1011212120112 is a wasteful number, since it uses less digits than its factorization.

1011212120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1011212120112 its reverse (2110212121101), we get a palindrome (3121424241213).

The spelling of 1011212120112 in words is "one trillion, eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 433 452 557 678 773 866 904 1114 1299 1356 1546 1671 1732 1808 2228 2319 2598 2712 3092 3342 3464 4456 4638 5196 5424 6184 6684 6928 8912 9276 10392 12368 13368 18552 20784 26736 37104 48929 62941 87349 97858 125882 146787 174698 188823 195716 241181 251764 262047 293574 334709 349396 377646 391432 430561 482362 503528 524094 587148 669418 698792 723543 755292 782864 861122 964724 1004127 1007056 1048188 1174296 1291683 1338836 1397584 1447086 1510584 1722244 1929448 2008254 2096376 2348592 2583366 2677672 2894172 3021168 3444488 3858896 4016508 4192752 5166732 5355344 5788344 6888976 8033016 10333464 11576688 16066032 20666928 27253453 37822117 48653393 54506906 75644234 81760359 97306786 109013812 113466351 145960179 151288468 163520718 186432913 194613572 218027624 226932702 291920358 302576936 327041436 372865826 389227144 436055248 453865404 559298739 583840716 605153872 654082872 745731652 778454288 907730808 1118597478 1167681432 1308165744 1491463304 1815461616 2237194956 2335362864 2982926608 4474389912 8948779824 21066919169 42133838338 63200757507 84267676676 126401515014 168535353352 252803030028 337070706704 505606060056 1011212120112