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11021210020100 = 2252761337765899
BaseRepresentation
bin1010000001100001001101…
…0011101110100100000100
31110000121200002001100002102
42200120103103232210010
52421032414231120400
635235023551531232
72215153600320530
oct240302323564404
943017602040072
1011021210020100
11356a083808a45
12129bb98b29b18
1361c3ac6c0bc7
142a1602438bc0
15141a4878e9d5
hexa06134ee904

11021210020100 has 144 divisors (see below), whose sum is σ = 27863147894400. Its totient is φ = 3705720883200.

The previous prime is 11021210020087. The next prime is 11021210020103. The reversal of 11021210020100 is 102001212011.

It is not an unprimeable number, because it can be changed into a prime (11021210020103) 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, 14006951 + ... + 14772849.

It is an arithmetic number, because the mean of its divisors is an integer number (193494082600).

Almost surely, 211021210020100 is an apocalyptic number.

11021210020100 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 11021210020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931573947200).

11021210020100 is an abundant number, since it is smaller than the sum of its proper divisors (16841937874300).

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

11021210020100 is a wasteful number, since it uses less digits than its factorization.

11021210020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766318 (or 766311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11021210020100 its reverse (102001212011), we get a palindrome (11123211232111).

The spelling of 11021210020100 in words is "eleven trillion, twenty-one billion, two hundred ten million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 61 70 100 122 140 175 244 305 337 350 427 610 674 700 854 1220 1348 1525 1685 1708 2135 2359 3050 3370 4270 4718 6100 6740 8425 8540 9436 10675 11795 16850 20557 21350 23590 33700 41114 42700 47180 58975 82228 102785 117950 143899 205570 235900 287798 411140 513925 575596 719495 765899 1027850 1438990 1531798 2055700 2877980 3063596 3597475 3829495 5361293 7194950 7658990 10722586 14389900 15317980 19147475 21445172 26806465 38294950 46719839 53612930 76589900 93439678 107225860 134032325 186879356 233599195 258107963 268064650 327038873 467198390 516215926 536129300 654077746 934396780 1032431852 1167995975 1290539815 1308155492 1635194365 1806755741 2335991950 2581079630 3270388730 3613511482 4671983900 5162159260 6452699075 6540777460 7227022964 8175971825 9033778705 12905398150 15744585743 16351943650 18067557410 25810796300 31489171486 32703887300 36135114820 45168893525 62978342972 78722928715 90337787050 110212100201 157445857430 180675574100 220424200402 314891714860 393614643575 440848400804 551060501005 787229287150 1102121002010 1574458574300 2204242004020 2755302505025 5510605010050 11021210020100