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110001120011220 = 223511816315515449
BaseRepresentation
bin11001000000101110100001…
…101011101110001111010100
3112102111000010012001020200010
4121000232201223232033110
5103404224243210324340
61025541452241320220
732112214204456434
oct3100564153561724
9472430105036603
10110001120011220
11320602385831a9
1210406b54636070
13494c0a433a6a9
141d241229ac2c4
15cab5acbecb80
hex640ba1aee3d4

110001120011220 has 48 divisors (see below), whose sum is σ = 308005762478400. Its totient is φ = 29333381865216.

The previous prime is 110001120011213. The next prime is 110001120011243. The reversal of 110001120011220 is 22110021100011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110001120011196 and 110001120011205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667945 + ... + 14847504.

It is an arithmetic number, because the mean of its divisors is an integer number (6416786718300).

Almost surely, 2110001120011220 is an apocalyptic number.

110001120011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110001120011220 is an abundant number, since it is smaller than the sum of its proper divisors (198004642467180).

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

110001120011220 is a wasteful number, since it uses less digits than its factorization.

110001120011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633624 (or 15633622 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110001120011220 its reverse (22110021100011), we get a palindrome (132111141111231).

The spelling of 110001120011220 in words is "one hundred ten trillion, one billion, one hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 118163 236326 354489 472652 590815 708978 1181630 1417956 1772445 2363260 3544890 7089780 15515449 31030898 46546347 62061796 77577245 93092694 155154490 186185388 232731735 310308980 465463470 930926940 1833352000187 3666704000374 5500056000561 7333408000748 9166760000935 11000112001122 18333520001870 22000224002244 27500280002805 36667040003740 55000560005610 110001120011220