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2220121020 = 2235138931981
BaseRepresentation
bin1000010001010100…
…0101101110111100
312201201112211111110
42010111011232330
514021322333040
61004144522020
7106005501015
oct20425055674
95651484443
102220121020
11a3a222867
1251b620310
13294c57ba0
14170bd800c
15ced93980
hex84545bbc

2220121020 has 96 divisors (see below), whose sum is σ = 6769949760. Its totient is φ = 540334080.

The previous prime is 2220120997. The next prime is 2220121039. The reversal of 2220121020 is 201210222.

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 = 2220120987 and 2220121005.

It is a congruent number.

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, 53430 + ... + 85410.

It is an arithmetic number, because the mean of its divisors is an integer number (70520310).

Almost surely, 22220121020 is an apocalyptic number.

2220121020 is a gapful number since it is divisible by the number (20) 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 2220121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384974880).

2220121020 is an abundant number, since it is smaller than the sum of its proper divisors (4549828740).

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

2220121020 is a wasteful number, since it uses less digits than its factorization.

2220121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32095 (or 32093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2220121020 is about 47118.1601932843. The cubic root of 2220121020 is about 1304.5444542596.

Adding to 2220121020 its reverse (201210222), we get a palindrome (2421331242).

It can be divided in two parts, 2 and 220121020, that added together give a palindrome (220121022).

The spelling of 2220121020 in words is "two billion, two hundred twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 178 195 260 267 356 390 445 534 780 890 1068 1157 1335 1780 2314 2670 3471 4628 5340 5785 6942 11570 13884 17355 23140 31981 34710 63962 69420 95943 127924 159905 191886 319810 383772 415753 479715 639620 831506 959430 1247259 1663012 1918860 2078765 2494518 2846309 4157530 4989036 5692618 6236295 8315060 8538927 11385236 12472590 14231545 17077854 24945180 28463090 34155708 37002017 42694635 56926180 74004034 85389270 111006051 148008068 170778540 185010085 222012102 370020170 444024204 555030255 740040340 1110060510 2220121020