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11030312300 = 22527175317489
BaseRepresentation
bin10100100010111010…
…10011010101101100
31001110201110220220012
422101131103111230
5140042224443200
65022305512352
7540225051620
oct122135232554
931421426805
1011030312300
114750361987
12217a0426b8
13106a2ab817
14768d21180
1544857aa35
hex29175356c

11030312300 has 144 divisors (see below), whose sum is σ = 29512486080. Its totient is φ = 3492003840.

The previous prime is 11030312291. The next prime is 11030312303. The reversal of 11030312300 is 321303011.

11030312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11030312303) by changing a digit.

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, 621956 + ... + 639444.

It is an arithmetic number, because the mean of its divisors is an integer number (204947820).

Almost surely, 211030312300 is an apocalyptic number.

11030312300 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 11030312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756243040).

11030312300 is an abundant number, since it is smaller than the sum of its proper divisors (18482173780).

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

11030312300 is a wasteful number, since it uses less digits than its factorization.

11030312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17580 (or 17573 counting only the distinct ones).

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

Adding to 11030312300 its reverse (321303011), we get a palindrome (11351615311).

The spelling of 11030312300 in words is "eleven billion, thirty million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 53 68 70 85 100 106 119 140 170 175 212 238 265 340 350 371 425 476 530 595 700 742 850 901 1060 1190 1325 1484 1700 1802 1855 2380 2650 2975 3604 3710 4505 5300 5950 6307 7420 9010 9275 11900 12614 17489 18020 18550 22525 25228 31535 34978 37100 45050 63070 69956 87445 90100 122423 126140 157675 174890 244846 297313 315350 349780 437225 489692 594626 612115 630700 874450 926917 1189252 1224230 1486565 1748900 1853834 2081191 2448460 2973130 3060575 3707668 4162382 4634585 5946260 6121150 6488419 7432825 8324764 9269170 10405955 12242300 12976838 14865650 15757589 18538340 20811910 23172925 25953676 29731300 31515178 32442095 41623820 46345850 52029775 63030356 64884190 78787945 92691700 104059550 110303123 129768380 157575890 162210475 208119100 220606246 315151780 324420950 393939725 441212492 551515615 648841900 787879450 1103031230 1575758900 2206062460 2757578075 5515156150 11030312300