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11022433000 = 2353101109133
BaseRepresentation
bin10100100001111110…
…01111101011101000
31001110011122121112021
422100333033223220
5140033220324000
65021424554224
7540101064115
oct122077175350
931404577467
1011022433000
114746970067
122177482974
131068780307
14767c6d90c
15447a2111a
hex290fcfae8

11022433000 has 64 divisors (see below), whose sum is σ = 26048103120. Its totient is φ = 4365280000.

The previous prime is 11022432983. The next prime is 11022433001. The reversal of 11022433000 is 33422011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2416902244 + 8605530756 = 49162^2 + 92766^2 .

It is not an unprimeable number, because it can be changed into a prime (11022433001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 46434 + ... + 155566.

Almost surely, 211022433000 is an apocalyptic number.

11022433000 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 11022433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13024051560).

11022433000 is an abundant number, since it is smaller than the sum of its proper divisors (15025670120).

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

11022433000 is a wasteful number, since it uses less digits than its factorization.

11022433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109255 (or 109241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11022433000 its reverse (33422011), we get a palindrome (11055855011).

The spelling of 11022433000 in words is "eleven billion, twenty-two million, four hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 109133 218266 436532 545665 873064 1091330 2182660 2728325 4365320 5456650 10913300 11022433 13641625 21826600 22044866 27283250 44089732 54566500 55112165 88179464 109133000 110224330 220448660 275560825 440897320 551121650 1102243300 1377804125 2204486600 2755608250 5511216500 11022433000