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11000021210000 = 24545320754757
BaseRepresentation
bin1010000000010010010001…
…0110110101001110010000
31102221120222101120020221222
42200010210112311032100
52420211020412210000
635221201234104212
72213503531362134
oct240044426651620
942846871506858
1011000021210000
1135610a0226339
121297a64a1b068
1361a3b393c154
142a05922d73c4
15141208498a85
hexa01245b5390

11000021210000 has 100 divisors (see below), whose sum is σ = 27134646080652. Its totient is φ = 4316989248000.

The previous prime is 11000021209979. The next prime is 11000021210011. The reversal of 11000021210000 is 1212000011.

It can be written as a sum of positive squares in 10 ways, for example, as 10169057698816 + 830963511184 = 3188896^2 + 911572^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11000021210000.

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, 9847379 + ... + 10907378.

Almost surely, 211000021210000 is an apocalyptic number.

11000021210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000021210000 is an abundant number, since it is smaller than the sum of its proper divisors (16134624870652).

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

11000021210000 is an equidigital number, since it uses as much as digits as its factorization.

11000021210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754838 (or 20754817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000021210000 its reverse (1212000011), we get a palindrome (11001233210011).

The spelling of 11000021210000 in words is "eleven trillion, twenty-one million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 625 848 1000 1060 1250 1325 2000 2120 2500 2650 4240 5000 5300 6625 10000 10600 13250 21200 26500 33125 53000 66250 106000 132500 265000 530000 20754757 41509514 83019028 103773785 166038056 207547570 332076112 415095140 518868925 830190280 1037737850 1100002121 1660380560 2075475700 2200004242 2594344625 4150951400 4400008484 5188689250 5500010605 8301902800 8800016968 10377378500 11000021210 12971723125 17600033936 20754757000 22000042420 25943446250 27500053025 41509514000 44000084840 51886892500 55000106050 88000169680 103773785000 110000212100 137500265125 207547570000 220000424200 275000530250 440000848400 550001060500 687501325625 1100002121000 1375002651250 2200004242000 2750005302500 5500010605000 11000021210000