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11022012110000 = 24548017137483
BaseRepresentation
bin1010000001100100001100…
…0111011101010010110000
31110000200201222022201120202
42200121003013131102300
52421041040100010000
635235235323254332
72215212510060203
oct240310307352260
943020658281522
1011022012110000
11356a455546a61
1212a018167a3a8
1361c4a9926108
142a167ab8993a
15141a93dcadd5
hexa06431dd4b0

11022012110000 has 100 divisors (see below), whose sum is σ = 26688916244232. Its totient is φ = 4408222848000.

The previous prime is 11022012109981. The next prime is 11022012110023. The reversal of 11022012110000 is 1121022011.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80101259 + ... + 80238741.

Almost surely, 211022012110000 is an apocalyptic number.

11022012110000 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 11022012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13344458122116).

11022012110000 is an abundant number, since it is smaller than the sum of its proper divisors (15666904134232).

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

11022012110000 is an equidigital number, since it uses as much as digits as its factorization.

11022012110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145528 (or 145507 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11022012110000 its reverse (1121022011), we get a palindrome (11023133132011).

The spelling of 11022012110000 in words is "eleven trillion, twenty-two billion, twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8017 10000 16034 32068 40085 64136 80170 128272 137483 160340 200425 274966 320680 400850 549932 641360 687415 801700 1002125 1099864 1374830 1603400 2004250 2199728 2749660 3206800 3437075 4008500 5010625 5499320 6874150 8017000 10021250 10998640 13748300 16034000 17185375 20042500 27496600 34370750 40085000 54993200 68741500 80170000 85926875 137483000 171853750 274966000 343707500 687415000 1102201211 1374830000 2204402422 4408804844 5511006055 8817609688 11022012110 17635219376 22044024220 27555030275 44088048440 55110060550 88176096880 110220121100 137775151375 220440242200 275550302750 440880484400 551100605500 688875756875 1102201211000 1377751513750 2204402422000 2755503027500 5511006055000 11022012110000