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11022103302120 = 23325242471262711
BaseRepresentation
bin1010000001100100100010…
…0011010100111111101000
31110000200222022220202122200
42200121020203110333220
52421041231421131440
635235252342020200
72215214665146351
oct240311043247750
943020868822580
1011022103302120
11356a4a1a71a49
1212a01a8117660
1361c4c27a4851
142a1688d26d28
15141a9bde0c30
hexa06488d4fe8

11022103302120 has 96 divisors (see below), whose sum is σ = 35823341473920. Its totient is φ = 2939103999360.

The previous prime is 11022103302047. The next prime is 11022103302143. The reversal of 11022103302120 is 2120330122011.

11022103302120 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 210 + 330 + 2 + 120 = 666.

It is a super-2 number, since 2×110221033021202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11022103302093 and 11022103302102.

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 23 ways as a sum of consecutive naturals, for example, 8097565 + ... + 9360275.

It is an arithmetic number, because the mean of its divisors is an integer number (373159807020).

Almost surely, 211022103302120 is an apocalyptic number.

11022103302120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022103302120 is an abundant number, since it is smaller than the sum of its proper divisors (24801238171800).

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

11022103302120 is a wasteful number, since it uses less digits than its factorization.

11022103302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286975 (or 1286968 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11022103302120 its reverse (2120330122011), we get a palindrome (13142433424131).

The spelling of 11022103302120 in words is "eleven trillion, twenty-two billion, one hundred three million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 24247 48494 72741 96988 121235 145482 193976 218223 242470 290964 363705 436446 484940 581928 727410 872892 969880 1091115 1262711 1454820 1745784 2182230 2525422 2909640 3788133 4364460 5050844 6313555 7576266 8728920 10101688 11364399 12627110 15152532 18940665 22728798 25254220 30305064 37881330 45457596 50508440 56821995 75762660 90915192 113643990 151525320 227287980 454575960 30616953617 61233907234 91850860851 122467814468 153084768085 183701721702 244935628936 275552582553 306169536170 367403443404 459254304255 551105165106 612339072340 734806886808 918508608510 1102210330212 1224678144680 1377762912765 1837017217020 2204420660424 2755525825530 3674034434040 5511051651060 11022103302120