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11221103113110 = 23251125514443139
BaseRepresentation
bin1010001101001001110111…
…0111010111001110010110
31110201201121222011120202200
42203102131313113032112
52432321304344104420
635510523102345330
72235461252504412
oct243223567271626
943651558146680
1011221103113110
1136369301a0360
12131288488b246
136351b781b7b7
142ab16624bd42
15146d47647b90
hexa349ddd7396

11221103113110 has 96 divisors (see below), whose sum is σ = 31839612330240. Its totient is φ = 2719200456000.

The previous prime is 11221103113097. The next prime is 11221103113141. The reversal of 11221103113110 is 1131130112211.

11221103113110 is a `hidden beast` number, since 1 + 12 + 21 + 10 + 311 + 311 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303921 + ... + 4747059.

It is an arithmetic number, because the mean of its divisors is an integer number (331662628440).

Almost surely, 211221103113110 is an apocalyptic number.

11221103113110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221103113110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15919806165120).

11221103113110 is an abundant number, since it is smaller than the sum of its proper divisors (20618509217130).

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

11221103113110 is a wasteful number, since it uses less digits than its factorization.

11221103113110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445714 (or 4445711 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11221103113110 its reverse (1131130112211), we get a palindrome (12352233225321).

The spelling of 11221103113110 in words is "eleven trillion, two hundred twenty-one billion, one hundred three million, one hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2551 5102 7653 12755 15306 22959 25510 28061 38265 45918 56122 76530 84183 114795 140305 168366 229590 252549 280610 420915 505098 841830 1262745 2525490 4443139 8886278 13329417 22215695 26658834 39988251 44431390 48874529 66647085 79976502 97749058 133294170 146623587 199941255 244372645 293247174 399882510 439870761 488745290 733117935 879741522 1466235870 2199353805 4398707610 11334447589 22668895178 34003342767 56672237945 68006685534 102010028301 113344475890 124678923479 170016713835 204020056602 249357846958 340033427670 374036770437 510050141505 623394617395 748073540874 1020100283010 1122110311311 1246789234790 1870183852185 2244220622622 3740367704370 5610551556555 11221103113110