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11020006334340 = 223251271732786503
BaseRepresentation
bin1010000001011100101110…
…0100000001111110000100
31110000111120012002202122100
42200113023210001332010
52421022433110144330
635234304312432100
72215112013211563
oct240271344017604
943014505082570
1011020006334340
113569616315023
12129b9019a8630
1361c24a208c03
142a152a629bda
151419c7c77060
hexa05cb901f84

11020006334340 has 144 divisors (see below), whose sum is σ = 33885315330048. Its totient is φ = 2898675424512.

The previous prime is 11020006334339. The next prime is 11020006334371. The reversal of 11020006334340 is 4343360002011.

11020006334340 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 0 + 0 + 633 + 4 + 3 + 4 + 0 = 666.

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, 2561529 + ... + 5348031.

It is an arithmetic number, because the mean of its divisors is an integer number (235314689792).

Almost surely, 211020006334340 is an apocalyptic number.

11020006334340 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 11020006334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16942657665024).

11020006334340 is an abundant number, since it is smaller than the sum of its proper divisors (22865308995708).

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

11020006334340 is a wasteful number, since it uses less digits than its factorization.

11020006334340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786818 (or 2786813 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11020006334340 its reverse (4343360002011), we get a palindrome (15363366336351).

The spelling of 11020006334340 in words is "eleven trillion, twenty billion, six million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 173 180 254 346 381 508 519 635 692 762 865 1038 1143 1270 1524 1557 1730 1905 2076 2286 2540 2595 3114 3460 3810 4572 5190 5715 6228 7620 7785 10380 11430 15570 21971 22860 31140 43942 65913 87884 109855 131826 197739 219710 263652 329565 395478 439420 659130 790956 988695 1318260 1977390 2786503 3954780 5573006 8359509 11146012 13932515 16719018 25078527 27865030 33438036 41797545 50157054 55730060 83595090 100314108 125392635 167190180 250785270 353885881 482065019 501570540 707771762 964130038 1061657643 1415543524 1446195057 1769429405 1928260076 2123315286 2410325095 2892390114 3184972929 3538858810 4246630572 4338585171 4820650190 5308288215 5784780228 6369945858 7077717620 7230975285 8677170342 9641300380 10616576430 12739891716 14461950570 15924864645 17354340684 21233152860 21692925855 28923901140 31849729290 43385851710 61222257413 63699458580 86771703420 122444514826 183666772239 244889029652 306111287065 367333544478 551000316717 612222574130 734667088956 918333861195 1102000633434 1224445148260 1836667722390 2204001266868 2755001583585 3673335444780 5510003167170 11020006334340