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11012303300 = 2252976011889
BaseRepresentation
bin10100100000110001…
…00110100111000100
31001102110120222012012
422100120212213010
5140023122201200
65020423513352
7536616014345
oct122030464704
931373528165
1011012303300
114741181509
122173bb8858
1310666446cb
147667940cc
15446bbea35
hex2906269c4

11012303300 has 72 divisors (see below), whose sum is σ = 24196029480. Its totient is φ = 4349952000.

The previous prime is 11012303297. The next prime is 11012303317. The reversal of 11012303300 is 330321011.

It can be written as a sum of positive squares in 12 ways, for example, as 1530217924 + 9482085376 = 39118^2 + 97376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5828756 + ... + 5830644.

It is an arithmetic number, because the mean of its divisors is an integer number (336055965).

Almost surely, 211012303300 is an apocalyptic number.

11012303300 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 11012303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098014740).

11012303300 is an abundant number, since it is smaller than the sum of its proper divisors (13183726180).

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

11012303300 is a wasteful number, since it uses less digits than its factorization.

11012303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11012303300 its reverse (330321011), we get a palindrome (11342624311).

The spelling of 11012303300 in words is "eleven billion, twelve million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 601 970 1202 1889 1940 2404 2425 3005 3778 4850 6010 7556 9445 9700 12020 15025 18890 30050 37780 47225 58297 60100 94450 116594 183233 188900 233188 291485 366466 582970 732932 916165 1135289 1165940 1457425 1832330 2270578 2914850 3664660 4541156 4580825 5676445 5829700 9161650 11352890 18323300 22705780 28382225 56764450 110123033 113528900 220246066 440492132 550615165 1101230330 2202460660 2753075825 5506151650 11012303300