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11133122224 = 2472109130279
BaseRepresentation
bin10100101111001010…
…11111011010110000
31001201212221012121011
422113211133122300
5140300034402344
65040421240304
7542613656200
oct122745373260
931655835534
1011133122224
1147a33a2564
1221a8563094
1310856972b3
14778844400
154525d7d34
hex29795f6b0

11133122224 has 60 divisors (see below), whose sum is σ = 25322523600. Its totient is φ = 4727528064.

The previous prime is 11133122173. The next prime is 11133122263. The reversal of 11133122224 is 42222133111.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 11133122195 and 11133122204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20317 + ... + 150595.

It is an arithmetic number, because the mean of its divisors is an integer number (422042060).

Almost surely, 211133122224 is an apocalyptic number.

11133122224 is a gapful number since it is divisible by the number (14) 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 11133122224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661261800).

11133122224 is an abundant number, since it is smaller than the sum of its proper divisors (14189401376).

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

11133122224 is a wasteful number, since it uses less digits than its factorization.

11133122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130410 (or 130397 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Adding to 11133122224 its reverse (42222133111), we get a palindrome (53355255335).

The spelling of 11133122224 in words is "eleven billion, one hundred thirty-three million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 109 112 196 218 392 436 763 784 872 1526 1744 3052 5341 6104 10682 12208 21364 42728 85456 130279 260558 521116 911953 1042232 1823906 2084464 3647812 6383671 7295624 12767342 14200411 14591248 25534684 28400822 51069368 56801644 99402877 102138736 113603288 198805754 227206576 397611508 695820139 795223016 1391640278 1590446032 2783280556 5566561112 11133122224