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11012202020120 = 2357792392083009
BaseRepresentation
bin1010000000111111101001…
…1000111011110100011000
31102222202102021220112011112
42200033322120323310120
52420410442204120440
635230534043115452
72214414426510110
oct240177230736430
942882367815145
1011012202020120
113566280a53264
12129a2a4212b88
1361b5a539c4c2
142a0dc9d40040
151416bca32965
hexa03fa63bd18

11012202020120 has 128 divisors (see below), whose sum is σ = 28795530240000. Its totient is φ = 3712220209152.

The previous prime is 11012202020087. The next prime is 11012202020201. The reversal of 11012202020120 is 2102020221011.

11012202020120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 11012202020095 and 11012202020104.

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, 4245176 + ... + 6328184.

It is an arithmetic number, because the mean of its divisors is an integer number (224965080000).

Almost surely, 211012202020120 is an apocalyptic number.

11012202020120 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 11012202020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14397765120000).

11012202020120 is an abundant number, since it is smaller than the sum of its proper divisors (17783328219880).

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

11012202020120 is a wasteful number, since it uses less digits than its factorization.

11012202020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083345 (or 2083341 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11012202020120 its reverse (2102020221011), we get a palindrome (13114222241131).

The spelling of 11012202020120 in words is "eleven trillion, twelve billion, two hundred two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 140 158 239 280 316 395 478 553 632 790 956 1106 1195 1580 1673 1912 2212 2390 2765 3160 3346 4424 4780 5530 6692 8365 9560 11060 13384 16730 18881 22120 33460 37762 66920 75524 94405 132167 151048 188810 264334 377620 528668 660835 755240 1057336 1321670 2083009 2643340 4166018 5286680 8332036 10415045 14581063 16664072 20830090 29162126 41660180 58324252 72905315 83320360 116648504 145810630 164557711 291621260 329115422 497839151 583242520 658230844 822788555 995678302 1151903977 1316461688 1645577110 1991356604 2303807954 2489195755 3291154220 3484874057 3982713208 4607615908 4978391510 5759519885 6582308440 6969748114 9215231816 9956783020 11519039770 13939496228 17424370285 19913566040 23038079540 27878992456 34848740570 39329292929 46076159080 69697481140 78658585858 139394962280 157317171716 196646464645 275305050503 314634343432 393292929290 550610101006 786585858580 1101220202012 1376525252515 1573171717160 2202440404024 2753050505030 5506101010060 11012202020120