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11141210112 = 21334111057
BaseRepresentation
bin10100110000001000…
…10110000000000000
31001202110011010002120
422120010112000000
5140304122210422
65041310444240
7543042503064
oct123004260000
931673133076
1011141210112
1147a7a1706a
1221ab203680
131087269726
1477994baa4
1545318445c
hex298116000

11141210112 has 112 divisors (see below), whose sum is σ = 30435419952. Its totient is φ = 3622830080.

The previous prime is 11141210099. The next prime is 11141210123. The reversal of 11141210112 is 21101214111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11141210091 and 11141210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1002088 + ... + 1013144.

It is an arithmetic number, because the mean of its divisors is an integer number (271744821).

Almost surely, 211141210112 is an apocalyptic number.

11141210112 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 11141210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15217709976).

11141210112 is an abundant number, since it is smaller than the sum of its proper divisors (19294209840).

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

11141210112 is an equidigital number, since it uses as much as digits as its factorization.

11141210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127 (or 11103 counting only the distinct ones).

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

Adding to 11141210112 its reverse (21101214111), we get a palindrome (32242424223).

The spelling of 11141210112 in words is "eleven billion, one hundred forty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3936 4096 5248 6144 7872 8192 10496 11057 12288 15744 20992 22114 24576 31488 33171 41984 44228 62976 66342 83968 88456 125952 132684 167936 176912 251904 265368 335872 353824 453337 503808 530736 707648 906674 1007616 1061472 1360011 1415296 1813348 2122944 2720022 2830592 3626696 4245888 5440044 5661184 7253392 8491776 10880088 11322368 14506784 16983552 21760176 22644736 29013568 33967104 43520352 45289472 58027136 67934208 87040704 90578944 116054272 135868416 174081408 232108544 271736832 348162816 464217088 696325632 928434176 1392651264 1856868352 2785302528 3713736704 5570605056 11141210112