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11223133300 = 2252437136761
BaseRepresentation
bin10100111001111001…
…10110110001110100
31001222011022020120201
422130330312301310
5140441110231200
65053354410244
7545056026151
oct123474666164
931864266521
1011223133300
11483a191185
122212730984
13109b2212a2
14786795228
1545a467c6a
hex29cf36c74

11223133300 has 72 divisors (see below), whose sum is σ = 25272257472. Its totient is φ = 4322976000.

The previous prime is 11223133261. The next prime is 11223133307. The reversal of 11223133300 is 333132211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11223133307) 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 23 ways as a sum of consecutive naturals, for example, 286920 + ... + 323680.

It is an arithmetic number, because the mean of its divisors is an integer number (351003576).

Almost surely, 211223133300 is an apocalyptic number.

11223133300 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 11223133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12636128736).

11223133300 is an abundant number, since it is smaller than the sum of its proper divisors (14049124172).

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

11223133300 is a wasteful number, since it uses less digits than its factorization.

11223133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36889 (or 36882 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 11223133300 its reverse (333132211), we get a palindrome (11556265511).

The spelling of 11223133300 in words is "eleven billion, two hundred twenty-three million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 71 86 100 142 172 215 284 355 430 710 860 1075 1420 1775 2150 3053 3550 4300 6106 7100 12212 15265 30530 36761 61060 73522 76325 147044 152650 183805 305300 367610 735220 919025 1580723 1838050 2610031 3161446 3676100 5220062 6322892 7903615 10440124 13050155 15807230 26100310 31614460 39518075 52200620 65250775 79036150 112231333 130501550 158072300 224462666 261003100 448925332 561156665 1122313330 2244626660 2805783325 5611566650 11223133300