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213044222020 = 225717199449821
BaseRepresentation
bin1100011001101001101…
…1001101100001000100
3202100220102021211011111
43012122123031201010
511442303310101040
6241512101014404
721251302002550
oct3063233154104
9670812254144
10213044222020
1182395a00283
12353580b4404
1317122905346
14a45067c860
15581d70ddea
hex319a6cd844

213044222020 has 96 divisors (see below), whose sum is σ = 544104691200. Its totient is φ = 68401428480.

The previous prime is 213044222009. The next prime is 213044222051. The reversal of 213044222020 is 20222440312.

It is a super-2 number, since 2×2130442220202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213044221982 and 213044222000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248710 + ... + 698530.

It is an arithmetic number, because the mean of its divisors is an integer number (5667757200).

Almost surely, 2213044222020 is an apocalyptic number.

213044222020 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 213044222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272052345600).

213044222020 is an abundant number, since it is smaller than the sum of its proper divisors (331060469180).

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

213044222020 is a wasteful number, since it uses less digits than its factorization.

213044222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450053 (or 450051 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 213044222020 its reverse (20222440312), we get a palindrome (233266662332).

The spelling of 213044222020 in words is "two hundred thirteen billion, forty-four million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 199 238 340 398 476 595 796 995 1190 1393 1990 2380 2786 3383 3980 5572 6766 6965 13532 13930 16915 23681 27860 33830 47362 67660 94724 118405 236810 449821 473620 899642 1799284 2249105 3148747 4498210 6297494 7646957 8996420 12594988 15293914 15743735 30587828 31487470 38234785 53528699 62974940 76469570 89514379 107057398 152939140 179028758 214114796 267643495 358057516 447571895 535286990 626600653 895143790 1070573980 1253201306 1521744443 1790287580 2506402612 3043488886 3133003265 6086977772 6266006530 7608722215 10652211101 12532013060 15217444430 21304422202 30434888860 42608844404 53261055505 106522111010 213044222020