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11222112220 = 22511311819091
BaseRepresentation
bin10100111001110001…
…11101011111011100
31001222002101100220221
422130320331133130
5140440330042340
65053320451124
7545044244224
oct123470753734
931862340827
1011222112220
114839654010
122212319aa4
13109ac545b7
147865ab084
1545a31544a
hex29ce3d7dc

11222112220 has 96 divisors (see below), whose sum is σ = 26687711232. Its totient is φ = 3926880000.

The previous prime is 11222112211. The next prime is 11222112227. The reversal of 11222112220 is 2221122211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11222112194 and 11222112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222112227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1229875 + ... + 1238965.

It is an arithmetic number, because the mean of its divisors is an integer number (277996992).

Almost surely, 211222112220 is an apocalyptic number.

11222112220 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 11222112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343855616).

11222112220 is an abundant number, since it is smaller than the sum of its proper divisors (15465599012).

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

11222112220 is a wasteful number, since it uses less digits than its factorization.

11222112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9323 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11222112220 its reverse (2221122211), we get a palindrome (13443234431).

Subtracting from 11222112220 its reverse (2221122211), we obtain a palindrome (9000990009).

It can be divided in two parts, 1 and 1222112220, that added together give a palindrome (1222112221).

The spelling of 11222112220 in words is "eleven billion, two hundred twenty-two million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 181 220 310 341 362 620 682 724 905 1364 1705 1810 1991 3410 3620 3982 5611 6820 7964 9091 9955 11222 18182 19910 22444 28055 36364 39820 45455 56110 61721 90910 100001 112220 123442 181820 200002 246884 281821 308605 400004 500005 563642 617210 1000010 1127284 1234420 1409105 1645471 2000020 2818210 3100031 3290942 5636420 6200062 6581884 8227355 12400124 15500155 16454710 18100181 31000310 32909420 36200362 51009601 62000620 72400724 90500905 102019202 181001810 204038404 255048005 362003620 510096010 561105611 1020192020 1122211222 2244422444 2805528055 5611056110 11222112220