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11111030320 = 2451310979739
BaseRepresentation
bin10100101100100010…
…01101111000110000
31001200100100211012111
422112101031320300
5140223410432240
65034311535104
7542225125255
oct122621157060
931610324174
1011111030320
114791983595
1221a108a494
131080c30970
1477593342c
154506c21ea
hex29644de30

11111030320 has 80 divisors (see below), whose sum is σ = 27848530080. Its totient is φ = 4098373632.

The previous prime is 11111030269. The next prime is 11111030321. The reversal of 11111030320 is 2303011111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 11111030320.

It is not an unprimeable number, because it can be changed into a prime (11111030321) 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, 1136011 + ... + 1145749.

It is an arithmetic number, because the mean of its divisors is an integer number (348106626).

Almost surely, 211111030320 is an apocalyptic number.

11111030320 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 11111030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13924265040).

11111030320 is an abundant number, since it is smaller than the sum of its proper divisors (16737499760).

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

11111030320 is a wasteful number, since it uses less digits than its factorization.

11111030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10856 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11111030320 its reverse (2303011111), we get a palindrome (13414041431).

The spelling of 11111030320 in words is "eleven billion, one hundred eleven million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1097 2194 4388 5485 8776 9739 10970 14261 17552 19478 21940 28522 38956 43880 48695 57044 71305 77912 87760 97390 114088 126607 142610 155824 194780 228176 253214 285220 389560 506428 570440 633035 779120 1012856 1140880 1266070 2025712 2532140 5064280 10128560 10683683 21367366 42734732 53418415 85469464 106836830 138887879 170938928 213673660 277775758 427347320 555551516 694439395 854694640 1111103032 1388878790 2222206064 2777757580 5555515160 11111030320