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111102000020 = 2251123113194309
BaseRepresentation
bin110011101111000110…
…0011111101110010100
3101121202220000101012122
41213132030133232110
53310014103000040
6123012313235112
711012132263334
oct1473614375624
9347686011178
10111102000020
1143133201030
1219647a02a98
13a6278cb01b
14553d6c30c4
152d53c261b5
hex19de31fb94

111102000020 has 96 divisors (see below), whose sum is σ = 267942608640. Its totient is φ = 38301992960.

The previous prime is 111102000001. The next prime is 111102000029. The reversal of 111102000020 is 20000201111.

111102000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 111101999971 and 111102000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111102000029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474626 + ... + 668934.

It is an arithmetic number, because the mean of its divisors is an integer number (2791068840).

Almost surely, 2111102000020 is an apocalyptic number.

111102000020 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 111102000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133971304320).

111102000020 is an abundant number, since it is smaller than the sum of its proper divisors (156840608620).

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

111102000020 is a wasteful number, since it uses less digits than its factorization.

111102000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194465 (or 194463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111102000020 its reverse (20000201111), we get a palindrome (131102201131).

The spelling of 111102000020 in words is "one hundred eleven billion, one hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 113 115 220 226 230 253 452 460 506 565 1012 1130 1243 1265 2260 2486 2530 2599 4972 5060 5198 6215 10396 12430 12995 24860 25990 28589 51980 57178 114356 142945 194309 285890 388618 571780 777236 971545 1943090 2137399 3886180 4274798 4469107 8549596 8938214 10686995 17876428 21373990 21956917 22345535 42747980 43913834 44691070 49160177 87827668 89382140 98320354 109784585 196640708 219569170 241526087 245800885 439138340 483052174 491601770 505009091 966104348 983203540 1010018182 1207630435 2020036364 2415260870 2525045455 4830521740 5050090910 5555100001 10100181820 11110200002 22220400004 27775500005 55551000010 111102000020