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11121022211000 = 2353137011220347
BaseRepresentation
bin1010000111010101000010…
…0101000001001110111000
31110101011022011021222200112
42201311100211001032320
52424201323141223000
635352532125323452
72225316204044612
oct241652045011670
943334264258615
1011121022211000
1135a8443128309
1212b73b3a06588
136289283241b0
142a639056bdb2
1514443b27c235
hexa1d509413b8

11121022211000 has 128 divisors (see below), whose sum is σ = 28064977536960. Its totient is φ = 4100362560000.

The previous prime is 11121022210849. The next prime is 11121022211087. The reversal of 11121022211000 is 11222012111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8502827 + ... + 9723173.

Almost surely, 211121022211000 is an apocalyptic number.

11121022211000 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 11121022211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14032488768480).

11121022211000 is an abundant number, since it is smaller than the sum of its proper divisors (16943955325960).

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

11121022211000 is a wasteful number, since it uses less digits than its factorization.

11121022211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221082 (or 1221068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11121022211000 its reverse (11222012111), we get a palindrome (11132244223111).

The spelling of 11121022211000 in words is "eleven trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 701 1000 1300 1402 1625 2600 2804 3250 3505 5608 6500 7010 9113 13000 14020 17525 18226 28040 35050 36452 45565 70100 72904 87625 91130 140200 175250 182260 227825 350500 364520 455650 701000 911300 1139125 1220347 1822600 2278250 2440694 4556500 4881388 6101735 9113000 9762776 12203470 15864511 24406940 30508675 31729022 48813880 61017350 63458044 79322555 122034700 126916088 152543375 158645110 244069400 305086750 317290220 396612775 610173500 634580440 793225550 855463247 1220347000 1586451100 1710926494 1983063875 3172902200 3421852988 3966127750 4277316235 6843705976 7932255500 8554632470 11121022211 15864511000 17109264940 21386581175 22242044422 34218529880 42773162350 44484088844 55605111055 85546324700 88968177688 106932905875 111210222110 171092649400 213865811750 222420444220 278025555275 427731623500 444840888440 556051110550 855463247000 1112102221100 1390127776375 2224204442200 2780255552750 5560511105500 11121022211000