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11223020000 = 2554737687
BaseRepresentation
bin10100111001111000…
…11011000111100000
31001222011002111011102
422130330123013200
5140441043120000
65053352133532
7545055044633
oct123474330740
931864074142
1011223020000
11483a114045
1222126972a8
13109b1b184a
14786765c1a
1545a4443d5
hex29cf1b1e0

11223020000 has 120 divisors (see below), whose sum is σ = 27992177136. Its totient is φ = 4427136000.

The previous prime is 11223019979. The next prime is 11223020041. The reversal of 11223020000 is 2032211.

It is a happy number.

11223020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1456157 + ... + 1463843.

Almost surely, 211223020000 is an apocalyptic number.

11223020000 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 11223020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13996088568).

11223020000 is an abundant number, since it is smaller than the sum of its proper divisors (16769157136).

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

11223020000 is an frugal number, since it uses more digits than its factorization.

11223020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7790 (or 7767 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11223020000 its reverse (2032211), we get a palindrome (11225052211).

The spelling of 11223020000 in words is "eleven billion, two hundred twenty-three million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 73 80 100 125 146 160 200 250 292 365 400 500 584 625 730 800 1000 1168 1250 1460 1825 2000 2336 2500 2920 3650 4000 5000 5840 7300 7687 9125 10000 11680 14600 15374 18250 20000 29200 30748 36500 38435 45625 58400 61496 73000 76870 91250 122992 146000 153740 182500 192175 245984 292000 307480 365000 384350 561151 614960 730000 768700 960875 1122302 1229920 1460000 1537400 1921750 2244604 2805755 3074800 3843500 4489208 4804375 5611510 6149600 7687000 8978416 9608750 11223020 14028775 15374000 17956832 19217500 22446040 28057550 30748000 38435000 44892080 56115100 70143875 76870000 89784160 112230200 140287750 153740000 224460400 280575500 350719375 448920800 561151000 701438750 1122302000 1402877500 2244604000 2805755000 5611510000 11223020000