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11012210300 = 22527138913597
BaseRepresentation
bin10100100000110000…
…01111111001111100
31001102110102020121202
422100120033321330
5140023111212200
65020421515032
7536615146250
oct122030177174
931373366552
1011012210300
114741118653
122173b72a78
131066611290
1476676c260
15446ba21d5
hex29060fe7c

11012210300 has 144 divisors (see below), whose sum is σ = 29743721280. Its totient is φ = 3445770240.

The previous prime is 11012210243. The next prime is 11012210327. The reversal of 11012210300 is 301221011.

11012210300 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 47 ways as a sum of consecutive naturals, for example, 803102 + ... + 816698.

It is an arithmetic number, because the mean of its divisors is an integer number (206553620).

Almost surely, 211012210300 is an apocalyptic number.

11012210300 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 11012210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871860640).

11012210300 is an abundant number, since it is smaller than the sum of its proper divisors (18731510980).

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

11012210300 is a wasteful number, since it uses less digits than its factorization.

11012210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13720 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11012210300 its reverse (301221011), we get a palindrome (11313431311).

The spelling of 11012210300 in words is "eleven billion, twelve million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 89 91 100 130 140 175 178 182 260 325 350 356 364 445 455 623 650 700 890 910 1157 1246 1300 1780 1820 2225 2275 2314 2492 3115 4450 4550 4628 5785 6230 8099 8900 9100 11570 12460 13597 15575 16198 23140 27194 28925 31150 32396 40495 54388 57850 62300 67985 80990 95179 115700 135970 161980 176761 190358 202475 271940 339925 353522 380716 404950 475895 679850 707044 809900 883805 951790 1210133 1237327 1359700 1767610 1903580 2379475 2420266 2474654 3535220 4419025 4758950 4840532 4949308 6050665 6186635 8470931 8838050 9517900 12101330 12373270 15731729 16941862 17676100 24202660 24746540 30253325 30933175 31463458 33883724 42354655 60506650 61866350 62926916 78658645 84709310 110122103 121013300 123732700 157317290 169418620 211773275 220244206 314634580 393293225 423546550 440488412 550610515 786586450 847093100 1101221030 1573172900 2202442060 2753052575 5506105150 11012210300