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11233300000 = 2555138641
BaseRepresentation
bin10100111011000111…
…01000111000100000
31001222212102202200011
422131203220320200
5141001211100000
65054400334304
7545241321526
oct123543507040
931885382604
1011233300000
1148449a560a
122216014394
1310a03709a0
14787c80316
1545b2c52ba
hex29d8e8e20

11233300000 has 144 divisors (see below), whose sum is σ = 29772485064. Its totient is φ = 4147200000.

The previous prime is 11233299991. The next prime is 11233300019. The reversal of 11233300000 is 333211.

It can be written as a sum of positive squares in 12 ways, for example, as 10127604496 + 1105695504 = 100636^2 + 33252^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1295680 + ... + 1304320.

Almost surely, 211233300000 is an apocalyptic number.

11233300000 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 11233300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14886242532).

11233300000 is an abundant number, since it is smaller than the sum of its proper divisors (18539185064).

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

11233300000 is an frugal number, since it uses more digits than its factorization.

11233300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689 (or 8661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 11233300000 its reverse (333211), we get a palindrome (11233633211).

The spelling of 11233300000 in words is "eleven billion, two hundred thirty-three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3125 3250 4000 5000 5200 6250 6500 8125 8641 10000 10400 12500 13000 16250 17282 20000 25000 26000 32500 34564 40625 43205 50000 52000 65000 69128 81250 86410 100000 112333 130000 138256 162500 172820 216025 224666 260000 276512 325000 345640 432050 449332 561665 650000 691280 864100 898664 1080125 1123330 1300000 1382560 1728200 1797328 2160250 2246660 2808325 3456400 3594656 4320500 4493320 5400625 5616650 6912800 8641000 8986640 10801250 11233300 14041625 17282000 17973280 21602500 22466600 27003125 28083250 34564000 43205000 44933200 54006250 56166500 70208125 86410000 89866400 108012500 112333000 140416250 172820000 216025000 224666000 280832500 351040625 432050000 449332000 561665000 702081250 864100000 1123330000 1404162500 2246660000 2808325000 5616650000 11233300000