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11000012012020 = 22579101206333413
BaseRepresentation
bin1010000000010010001111…
…0011101111100111110100
31102221120221202020221201001
42200010203303233213310
52420211011033341040
635221200305013044
72213503360242643
oct240044363574764
942846852227631
1011000012012020
1135610960137a9
121297a61924184
1361a3b1a6b665
142a0590dc135a
1514120777d59a
hexa0123cef9f4

11000012012020 has 96 divisors (see below), whose sum is σ = 23636197509120. Its totient is φ = 4299081945600.

The previous prime is 11000012011999. The next prime is 11000012012089. The reversal of 11000012012020 is 2021021000011.

11000012012020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11000012011988 and 11000012012006.

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, 329196834 + ... + 329230246.

It is an arithmetic number, because the mean of its divisors is an integer number (246210390720).

Almost surely, 211000012012020 is an apocalyptic number.

11000012012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000012012020 is an abundant number, since it is smaller than the sum of its proper divisors (12636185497100).

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

11000012012020 is a wasteful number, since it uses less digits than its factorization.

11000012012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35665 (or 35663 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000012012020 its reverse (2021021000011), we get a palindrome (13021033012031).

The spelling of 11000012012020 in words is "eleven trillion, twelve million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 79 101 158 202 316 395 404 505 790 1010 1580 2020 2063 4126 7979 8252 10315 15958 20630 31916 33413 39895 41260 66826 79790 133652 159580 162977 167065 208363 325954 334130 416726 651908 668260 814885 833452 1041815 1629770 2083630 2639627 3259540 3374713 4167260 5279254 6749426 10558508 13198135 13498852 16460677 16873565 26396270 32921354 33747130 52792540 65842708 67494260 68931019 82303385 137862038 164606770 266602327 275724076 329213540 344655095 533204654 689310190 1066409308 1333011635 1378620380 2666023270 5332046540 5445550501 6962032919 10891101002 13924065838 21782202004 27227752505 27848131676 34810164595 54455505010 69620329190 108911010020 139240658380 550000600601 1100001201202 2200002402404 2750003003005 5500006006010 11000012012020