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11211053300 = 225223109197227
BaseRepresentation
bin10100111000011101…
…10001100011110100
31001221022120111221022
422130032301203310
5140430012201200
65052243440312
7544551244406
oct123416614364
931838514838
1011211053300
114833390307
12220a686098
131098881a65
14784d2cb76
1545937d885
hex29c3b18f4

11211053300 has 144 divisors (see below), whose sum is σ = 25862094720. Its totient is φ = 4209891840.

The previous prime is 11211053297. The next prime is 11211053309. The reversal of 11211053300 is 335011211.

11211053300 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 not an unprimeable number, because it can be changed into a prime (11211053309) 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, 49387787 + ... + 49388013.

It is an arithmetic number, because the mean of its divisors is an integer number (179597880).

Almost surely, 211211053300 is an apocalyptic number.

11211053300 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 11211053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931047360).

11211053300 is an abundant number, since it is smaller than the sum of its proper divisors (14651041420).

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

11211053300 is a wasteful number, since it uses less digits than its factorization.

11211053300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 11211053300 its reverse (335011211), we get a palindrome (11546064511).

The spelling of 11211053300 in words is "eleven billion, two hundred eleven million, fifty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 109 115 197 218 227 230 394 436 454 460 545 575 788 908 985 1090 1135 1150 1970 2180 2270 2300 2507 2725 3940 4531 4540 4925 5014 5221 5450 5675 9062 9850 10028 10442 10900 11350 12535 18124 19700 20884 21473 22655 22700 24743 25070 26105 42946 44719 45310 49486 50140 52210 62675 85892 89438 90620 98972 104420 107365 113275 123715 125350 130525 178876 214730 223595 226550 247430 250700 261050 429460 447190 453100 493879 494860 522100 536825 569089 618575 894380 987758 1028537 1073650 1117975 1138178 1237150 1975516 2057074 2147300 2235950 2276356 2469395 2474300 2845445 4114148 4471900 4874371 4938790 5142685 5690890 9748742 9877580 10285370 11381780 12346975 14227225 19497484 20570740 24371855 24693950 25713425 28454450 48743710 49387900 51426850 56908900 97487420 102853700 112110533 121859275 224221066 243718550 448442132 487437100 560552665 1121105330 2242210660 2802763325 5605526650 11211053300