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11021200112 = 2413732393037
BaseRepresentation
bin10100100001110101…
…00010101011110000
31001110002022222022202
422100322202223300
5140032411400422
65021342322332
7540054440516
oct122072425360
931402288282
1011021200112
1147461a884a
122176b893a8
13106843b0b0
14767a2c4b6
1544787ab92
hex290ea2af0

11021200112 has 80 divisors (see below), whose sum is σ = 23416417920. Its totient is φ = 4994390016.

The previous prime is 11021200109. The next prime is 11021200117. The reversal of 11021200112 is 21100212011.

It is a junction number, because it is equal to n+sod(n) for n = 11021200093 and 11021200102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021200117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3627458 + ... + 3630494.

It is an arithmetic number, because the mean of its divisors is an integer number (292705224).

Almost surely, 211021200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708208960).

11021200112 is an abundant number, since it is smaller than the sum of its proper divisors (12395217808).

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

11021200112 is a wasteful number, since it uses less digits than its factorization.

11021200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3364 counting only the distinct ones).

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

Adding to 11021200112 its reverse (21100212011), we get a palindrome (32121412123).

The spelling of 11021200112 in words is "eleven billion, twenty-one million, two hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 73 104 146 208 239 292 478 584 949 956 1168 1898 1912 3037 3107 3796 3824 6074 6214 7592 12148 12428 15184 17447 24296 24856 34894 39481 48592 49712 69788 78962 139576 157924 221701 226811 279152 315848 443402 453622 631696 725843 886804 907244 1451686 1773608 1814488 2882113 2903372 3547216 3628976 5764226 5806744 9435959 11528452 11613488 18871918 23056904 37743836 46113808 52986539 75487672 105973078 150975344 211946156 423892312 688825007 847784624 1377650014 2755300028 5510600056 11021200112