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11121443301330 = 23254324231186033
BaseRepresentation
bin1010000111010110100110…
…1011010110011111010010
31110101012101111122121000200
42201311221223112133102
52424203203441120310
635353042011000030
72225332506206325
oct241655153263722
943335344577020
1011121443301330
1135a863989874a
1212b74b0a39016
1362899463b27b
142a63d04627bc
151444632099c0
hexa1d69ad67d2

11121443301330 has 96 divisors (see below), whose sum is σ = 29600448299136. Its totient is φ = 2895550060032.

The previous prime is 11121443301307. The next prime is 11121443301391. The reversal of 11121443301330 is 3310334412111.

11121443301330 is a `hidden beast` number, since 1 + 1 + 1 + 21 + 4 + 4 + 3 + 301 + 330 = 666.

It is a super-2 number, since 2×111214433013302 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11121443301294 and 11121443301303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8783994 + ... + 9970026.

It is an arithmetic number, because the mean of its divisors is an integer number (308338003116).

Almost surely, 211121443301330 is an apocalyptic number.

11121443301330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121443301330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14800224149568).

11121443301330 is an abundant number, since it is smaller than the sum of its proper divisors (18479004997806).

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

11121443301330 is a wasteful number, since it uses less digits than its factorization.

11121443301330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188512 (or 1188509 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11121443301330 its reverse (3310334412111), we get a palindrome (14431777713441).

The spelling of 11121443301330 in words is "eleven trillion, one hundred twenty-one billion, four hundred forty-three million, three hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 2423 3870 4846 7269 12115 14538 21807 24230 36345 43614 72690 104189 109035 208378 218070 312567 520945 625134 937701 1041890 1186033 1562835 1875402 2372066 3125670 3558099 4688505 5930165 7116198 9377010 10674297 11860330 17790495 21348594 35580990 50999419 53371485 101998838 106742970 152998257 254997095 305996514 458994771 509994190 764991285 917989542 1529982570 2294973855 2873757959 4589947710 5747515918 8621273877 14368789795 17242547754 25863821631 28737579590 43106369385 51727643262 86212738770 123571592237 129319108155 247143184474 258638216310 370714776711 617857961185 741429553422 1112144330133 1235715922370 1853573883555 2224288660266 3707147767110 5560721650665 11121443301330