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213223120220 = 225115326216977
BaseRepresentation
bin1100011010010100010…
…1101001110101011100
3202101100212220210100202
43012211011221311130
511443140104321340
6241541531243032
721255603421625
oct3064505516534
9671325823322
10213223120220
1182477990130
12353a7ba9478
13171509b1876
14a46a32aa4c
15582e29ac15
hex31a5169d5c

213223120220 has 96 divisors (see below), whose sum is σ = 497952536256. Its totient is φ = 76032819200.

The previous prime is 213223120219. The next prime is 213223120249. The reversal of 213223120220 is 22021322312.

It is a happy number.

213223120220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 213223120192 and 213223120201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30557372 + ... + 30564348.

It is an arithmetic number, because the mean of its divisors is an integer number (5187005586).

Almost surely, 2213223120220 is an apocalyptic number.

213223120220 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 213223120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976268128).

213223120220 is an abundant number, since it is smaller than the sum of its proper divisors (284729416036).

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

213223120220 is a wasteful number, since it uses less digits than its factorization.

213223120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9671 (or 9669 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 213223120220 its reverse (22021322312), we get a palindrome (235244442532).

The spelling of 213223120220 in words is "two hundred thirteen billion, two hundred twenty-three million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2621 2915 5242 5830 6977 10484 11660 13105 13954 26210 27908 28831 34885 52420 57662 69770 76747 115324 138913 139540 144155 153494 277826 288310 306988 369781 383735 555652 576620 694565 739562 767470 1389130 1479124 1528043 1534940 1848905 2778260 3056086 3697810 4067591 6112172 7395620 7640215 8135182 15280430 16270364 18286717 20337955 30560860 36573434 40675910 73146868 81351820 91433585 182867170 201153887 365734340 402307774 804615548 969196001 1005769435 1938392002 2011538870 3876784004 4023077740 4845980005 9691960010 10661156011 19383920020 21322312022 42644624044 53305780055 106611560110 213223120220