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11010110000 = 24546716433
BaseRepresentation
bin10100100000100000…
…01111001000110000
31001102022110112112212
422100100033020300
5140022042010000
65020304511252
7536561251031
oct122020171060
931368415485
1011010110000
11473aa1366a
12217331b528
1310660572b6
14766382a88
154468d9c35
hex29040f230

11010110000 has 100 divisors (see below), whose sum is σ = 27056083032. Its totient is φ = 4338048000.

The previous prime is 11010109969. The next prime is 11010110039. The reversal of 11010110000 is 1101011.

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 (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 661784 + ... + 678216.

Almost surely, 211010110000 is an apocalyptic number.

11010110000 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 11010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13528041516).

11010110000 is an abundant number, since it is smaller than the sum of its proper divisors (16045973032).

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

11010110000 is an equidigital number, since it uses as much as digits as its factorization.

11010110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16528 (or 16507 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 11010110000 its reverse (1101011), we get a palindrome (11011211011).

11010110000 divided by its reverse (1101011) gives a 4-th power (10000 = 104).

The spelling of 11010110000 in words is "eleven billion, ten million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 2000 2500 2680 3350 5000 5360 6700 8375 10000 13400 16433 16750 26800 32866 33500 41875 65732 67000 82165 83750 131464 134000 164330 167500 262928 328660 335000 410825 657320 670000 821650 1101011 1314640 1643300 2054125 2202022 3286600 4108250 4404044 5505055 6573200 8216500 8808088 10270625 11010110 16433000 17616176 20541250 22020220 27525275 32866000 41082500 44040440 55050550 82165000 88080880 110101100 137626375 164330000 220202200 275252750 440404400 550505500 688131875 1101011000 1376263750 2202022000 2752527500 5505055000 11010110000