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112002122111020 = 225711512831845757
BaseRepresentation
bin11001011101110110000110…
…101100111101100000101100
3112200120022001110112001010121
4121131312012230331200230
5104140020321230023040
61034113021541014324
732406612665622331
oct3135660654754054
9480508043461117
10112002122111020
1132761919051439
121068a9180b43a4
134a659a739590b
141d92d08594988
15ce3673b73c4a
hex65dd86b3d82c

112002122111020 has 96 divisors (see below), whose sum is σ = 240945308384256. Its totient is φ = 43722268128000.

The previous prime is 112002122110999. The next prime is 112002122111081. The reversal of 112002122111020 is 20111221200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002122110985 and 112002122111003.

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, 59757982 + ... + 61603738.

It is an arithmetic number, because the mean of its divisors is an integer number (2509846962336).

Almost surely, 2112002122111020 is an apocalyptic number.

112002122111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002122111020 is an abundant number, since it is smaller than the sum of its proper divisors (128943186273236).

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

112002122111020 is a wasteful number, since it uses less digits than its factorization.

112002122111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846271 (or 1846269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112002122111020 its reverse (20111221200211), we get a palindrome (132113343311231).

The spelling of 112002122111020 in words is "one hundred twelve trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 71 142 151 283 284 302 355 566 604 710 755 1132 1415 1420 1510 2830 3020 5660 10721 20093 21442 40186 42733 42884 53605 80372 85466 100465 107210 170932 200930 213665 214420 401860 427330 854660 1845757 3034043 3691514 6068086 7383028 9228785 12136172 15170215 18457570 30340430 36915140 60680860 131048747 262097494 278709307 522349231 524194988 557418614 655243735 1044698462 1114837228 1310487470 1393546535 2089396924 2611746155 2620974940 2787093070 5223492310 5574186140 10446984620 19788360797 37086795401 39576721594 74173590802 78874733881 79153443188 98941803985 148347181604 157749467762 185433977005 197883607970 315498935524 370867954010 394373669405 395767215940 741735908020 788747338810 1577494677620 5600106105551 11200212211102 22400424422204 28000530527755 56001061055510 112002122111020