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11123222032 = 2413197353769
BaseRepresentation
bin10100101101111111…
…01110011000010000
31001201012022020002101
422112333232120100
5140240021101112
65035425130144
7542433553516
oct122677563020
931635266071
1011123222032
11479885038a
1221a5189954
13108360bcb0
147773c84b6
154517ce757
hex296fee610

11123222032 has 80 divisors (see below), whose sum is σ = 23423344560. Its totient is φ = 5086642176.

The previous prime is 11123222017. The next prime is 11123222063. The reversal of 11123222032 is 23022232111.

It can be written as a sum of positive squares in 8 ways, for example, as 6471936 + 11116750096 = 2544^2 + 105436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14464144 + ... + 14464912.

It is an arithmetic number, because the mean of its divisors is an integer number (292791807).

Almost surely, 211123222032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11711672280).

11123222032 is an abundant number, since it is smaller than the sum of its proper divisors (12300122528).

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

11123222032 is a wasteful number, since it uses less digits than its factorization.

11123222032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11123222032 its reverse (23022232111), we get a palindrome (34145454143).

The spelling of 11123222032 in words is "eleven billion, one hundred twenty-three million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 197 208 353 394 706 769 788 1412 1538 1576 2561 2824 3076 3152 4589 5122 5648 6152 9178 9997 10244 12304 18356 19994 20488 36712 39988 40976 69541 73424 79976 139082 151493 159952 271457 278164 302986 542914 556328 605972 904033 1085828 1112656 1211944 1808066 1969409 2171656 2423888 3528941 3616132 3938818 4343312 7057882 7232264 7877636 14115764 14464528 15755272 28231528 31510544 53477029 56463056 106954058 213908116 427816232 695201377 855632464 1390402754 2780805508 5561611016 11123222032