Search a number
-
+
11003212103220 = 22325463509259387
BaseRepresentation
bin1010000000011110001010…
…0011000111111000110100
31102221220012202210102120100
42200013202203013320310
52420234034244300340
635222450022034100
72213645565462621
oct240074243077064
942856182712510
1011003212103220
113562488419677
1212985b5578930
1361a7a1a3c84c
142a07b5dd1348
15141343698830
hexa01e28c7e34

11003212103220 has 144 divisors (see below), whose sum is σ = 33514340670720. Its totient is φ = 2922089119488.

The previous prime is 11003212103207. The next prime is 11003212103281. The reversal of 11003212103220 is 2230121230011.

11003212103220 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 321 + 21 + 0 + 322 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11003212103193 and 11003212103202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42290367 + ... + 42549753.

It is an arithmetic number, because the mean of its divisors is an integer number (232738476880).

Almost surely, 211003212103220 is an apocalyptic number.

11003212103220 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 11003212103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757170335360).

11003212103220 is an abundant number, since it is smaller than the sum of its proper divisors (22511128567500).

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

11003212103220 is a wasteful number, since it uses less digits than its factorization.

11003212103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260374 (or 260369 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11003212103220 its reverse (2230121230011), we get a palindrome (13233333333231).

The spelling of 11003212103220 in words is "eleven trillion, three billion, two hundred twelve million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 509 926 1018 1389 1527 1852 2036 2315 2545 2778 3054 4167 4581 4630 5090 5556 6108 6945 7635 8334 9162 9260 10180 13890 15270 16668 18324 20835 22905 27780 30540 41670 45810 83340 91620 235667 259387 471334 518774 707001 778161 942668 1037548 1178335 1296935 1414002 1556322 2121003 2334483 2356670 2593870 2828004 3112644 3535005 3890805 4242006 4668966 4713340 5187740 7070010 7781610 8484012 9337932 10605015 11672415 14140020 15563220 21210030 23344830 42420060 46689660 120096181 132027983 240192362 264055966 360288543 396083949 480384724 528111932 600480905 660139915 720577086 792167898 1080865629 1188251847 1200961810 1320279830 1441154172 1584335796 1801442715 1980419745 2161731258 2376503694 2401923620 2640559660 3602885430 3960839490 4323462516 4753007388 5404328145 5941259235 7205770860 7921678980 10808656290 11882518470 21617312580 23765036940 61128956129 122257912258 183386868387 244515824516 305644780645 366773736774 550160605161 611289561290 733547473548 916934341935 1100321210322 1222579122580 1833868683870 2200642420644 2750803025805 3667737367740 5501606051610 11003212103220