Search a number
-
+
11120021122000 = 245372053386891
BaseRepresentation
bin1010000111010001010011…
…1010001010101111010000
31110101001201101120101202011
42201310110322022233100
52424142300401401000
635352244524432304
72225252326660030
oct241642472125720
943331641511664
1011120021122000
1135a7a7a03032a
1212b71746a8694
136287c8ac543b
142a62d76198c0
151443cd4332ba
hexa1d14e8abd0

11120021122000 has 160 divisors (see below), whose sum is σ = 30744431587584. Its totient is φ = 3810711744000.

The previous prime is 11120021121997. The next prime is 11120021122069. The reversal of 11120021122000 is 22112002111.

It is a super-2 number, since 2×111200211220002 (a number of 27 digits) contains 22 as substring.

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, 28548555 + ... + 28935445.

Almost surely, 211120021122000 is an apocalyptic number.

11120021122000 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 11120021122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372215793792).

11120021122000 is an abundant number, since it is smaller than the sum of its proper divisors (19624410465584).

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

11120021122000 is a wasteful number, since it uses less digits than its factorization.

11120021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388974 (or 388958 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11120021122000 its reverse (22112002111), we get a palindrome (11142133124111).

The spelling of 11120021122000 in words is "eleven trillion, one hundred twenty billion, twenty-one million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2053 2800 3500 4106 7000 8212 10265 14000 14371 16424 20530 28742 32848 41060 51325 57484 71855 82120 102650 114968 143710 164240 205300 229936 256625 287420 359275 386891 410600 513250 574840 718550 773782 821200 1026500 1149680 1437100 1547564 1796375 1934455 2053000 2708237 2874200 3095128 3592750 3868910 4106000 5416474 5748400 6190256 7185500 7737820 9672275 10832948 13541185 14371000 15475640 19344550 21665896 27082370 28742000 30951280 38689100 43331792 48361375 54164740 67705925 77378200 96722750 108329480 135411850 154756400 193445500 216658960 270823700 338529625 386891000 541647400 677059250 773782000 794287223 1083294800 1354118500 1588574446 2708237000 3177148892 3971436115 5416474000 5560010561 6354297784 7942872230 11120021122 12708595568 15885744460 19857180575 22240042244 27800052805 31771488920 39714361150 44480084488 55600105610 63542977840 79428722300 88960168976 99285902875 111200211220 139000264025 158857444600 198571805750 222400422440 278000528050 317714889200 397143611500 444800844880 556001056100 695001320125 794287223000 1112002112200 1390002640250 1588574446000 2224004224400 2780005280500 5560010561000 11120021122000