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11240002241000 = 235313266508889
BaseRepresentation
bin1010001110010000010001…
…0101110100000111101000
31110210112102002012202101022
42203210010111310013220
52433124011033203000
635523330304312012
72240030506443551
oct243440425640750
943715362182338
1011240002241000
113643949269915
12131647a012608
13636c0a0cb800
142ac03a249328
151475a1909585
hexa39045741e8

11240002241000 has 96 divisors (see below), whose sum is σ = 28480436875800. Its totient is φ = 4150154611200.

The previous prime is 11240002240991. The next prime is 11240002241003. The reversal of 11240002241000 is 14220004211.

It can be written as a sum of positive squares in 12 ways, for example, as 4683770296804 + 6556231944196 = 2164202^2 + 2560514^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11240002241000.

It is not an unprimeable number, because it can be changed into a prime (11240002241003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33085445 + ... + 33423444.

Almost surely, 211240002241000 is an apocalyptic number.

11240002241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11240002241000 is an abundant number, since it is smaller than the sum of its proper divisors (17240434634800).

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

11240002241000 is a wasteful number, since it uses less digits than its factorization.

11240002241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66508936 (or 66508909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11240002241000 its reverse (14220004211), we get a palindrome (11254222245211).

The spelling of 11240002241000 in words is "eleven trillion, two hundred forty billion, two million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 169 200 250 260 325 338 500 520 650 676 845 1000 1300 1352 1625 1690 2600 3250 3380 4225 6500 6760 8450 13000 16900 21125 33800 42250 84500 169000 66508889 133017778 266035556 332544445 532071112 665088890 864615557 1330177780 1662722225 1729231114 2660355560 3325444450 3458462228 4323077785 6650888900 6916924456 8313611125 8646155570 11240002241 13301777800 16627222250 17292311140 21615388925 22480004482 33254444500 34584622280 43230777850 44960008964 56200011205 66508889000 86461555700 89920017928 108076944625 112400022410 172923111400 216153889250 224800044820 281000056025 432307778500 449600089640 562000112050 864615557000 1124000224100 1405000280125 2248000448200 2810000560250 5620001120500 11240002241000