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11031220044224 = 2610728329319427
BaseRepresentation
bin1010000010000110011111…
…1100111100000111000000
31110001120111200200020201122
42200201213330330013000
52421213414312403344
635243401133251412
72215656626162402
oct240414774740700
943046450606648
1011031220044224
11357335014a256
1212a1b11333b68
136203164aabc3
142a1cb1a4ab72
15141e3247caee
hexa0867f3c1c0

11031220044224 has 112 divisors (see below), whose sum is σ = 22249550510208. Its totient is φ = 5425892533248.

The previous prime is 11031220044211. The next prime is 11031220044259. The reversal of 11031220044224 is 42244002213011.

It is a junction number, because it is equal to n+sod(n) for n = 11031220044193 and 11031220044202.

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 15 ways as a sum of consecutive naturals, for example, 567819599 + ... + 567839025.

It is an arithmetic number, because the mean of its divisors is an integer number (198656700984).

Almost surely, 211031220044224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031220044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124775255104).

11031220044224 is an abundant number, since it is smaller than the sum of its proper divisors (11218330465984).

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

11031220044224 is a wasteful number, since it uses less digits than its factorization.

11031220044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20112 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11031220044224 its reverse (42244002213011), we get a palindrome (53275222257235).

The spelling of 11031220044224 in words is "eleven trillion, thirty-one billion, two hundred twenty million, forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 107 214 283 293 428 566 586 856 1132 1172 1712 2264 2344 3424 4528 4688 6848 9056 9376 18112 18752 19427 30281 31351 38854 60562 62702 77708 82919 121124 125404 155416 165838 242248 250808 310832 331676 484496 501616 621664 663352 968992 1003232 1243328 1326704 1937984 2006464 2078689 2653408 4157378 5306816 5497841 5692111 8314756 8872333 10995682 11384222 16629512 17744666 21991364 22768444 33259024 35489332 43982728 45536888 66518048 70978664 87965456 91073776 133036096 141957328 175930912 182147552 283914656 351861824 364295104 567829312 588268987 609055877 1176537974 1218111754 1610867413 2353075948 2436223508 3221734826 4706151896 4872447016 6443469652 9412303792 9744894032 12886939304 18824607584 19489788064 25773878608 37649215168 38979576128 51547757216 103095514432 172362813191 344725626382 689451252764 1378902505528 2757805011056 5515610022112 11031220044224