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4221211120 = 245713755021
BaseRepresentation
bin1111101110011010…
…1001000111110000
3101220011221202001121
43323212221013300
532121112223440
61534511112024
7206414462650
oct37346510760
911804852047
104221211120
111876844435
12999812614
135236c4479
142c0898360
1519a8be34a
hexfb9a91f0

4221211120 has 80 divisors (see below), whose sum is σ = 11298437568. Its totient is φ = 1436682240.

The previous prime is 4221211079. The next prime is 4221211121. The reversal of 4221211120 is 211121224.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42212111202 = 35637246639223308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4221211094 and 4221211103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221211121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49210 + ... + 104230.

Almost surely, 24221211120 is an apocalyptic number.

4221211120 is a gapful number since it is divisible by the number (40) 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 4221211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649218784).

4221211120 is an abundant number, since it is smaller than the sum of its proper divisors (7077226448).

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

4221211120 is a wasteful number, since it uses less digits than its factorization.

4221211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55178 (or 55172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4221211120 is about 64970.8482321110. The cubic root of 4221211120 is about 1616.1401681346.

Adding to 4221211120 its reverse (211121224), we get a palindrome (4432332344).

The spelling of 4221211120 in words is "four billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 274 280 548 560 685 959 1096 1370 1918 2192 2740 3836 4795 5480 7672 9590 10960 15344 19180 38360 55021 76720 110042 220084 275105 385147 440168 550210 770294 880336 1100420 1540588 1925735 2200840 3081176 3851470 4401680 6162352 7537877 7702940 15075754 15405880 30151508 30811760 37689385 52765139 60303016 75378770 105530278 120606032 150757540 211060556 263825695 301515080 422121112 527651390 603030160 844242224 1055302780 2110605560 4221211120