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213223113220 = 2251323138125819
BaseRepresentation
bin1100011010010100010…
…1101000001000000100
3202101100212220102202111
43012211011220020010
511443140104110340
6241541531150404
721255603362335
oct3064505501004
9671325812674
10213223113220
1182477985947
12353a7ba5404
13171509ab620
14a46a32828c
15582e298aea
hex31a5168204

213223113220 has 96 divisors (see below), whose sum is σ = 503561882880. Its totient is φ = 75248110080.

The previous prime is 213223113211. The next prime is 213223113221. The reversal of 213223113220 is 22311322312.

It is a super-2 number, since 2×2132231132202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213223113191 and 213223113200.

It is not an unprimeable number, because it can be changed into a prime (213223113221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8245471 + ... + 8271289.

It is an arithmetic number, because the mean of its divisors is an integer number (5245436280).

Almost surely, 2213223113220 is an apocalyptic number.

213223113220 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 213223113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251780941440).

213223113220 is an abundant number, since it is smaller than the sum of its proper divisors (290338769660).

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

213223113220 is a wasteful number, since it uses less digits than its factorization.

213223113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27245 (or 27243 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 213223113220 its reverse (22311322312), we get a palindrome (235534435532).

The spelling of 213223113220 in words is "two hundred thirteen billion, two hundred twenty-three million, one hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1381 1495 2762 2990 5524 5980 6905 13810 17953 25819 27620 31763 35906 51638 63526 71812 89765 103276 127052 129095 158815 179530 258190 317630 335647 359060 412919 516380 593837 635260 671294 825838 1187674 1342588 1651676 1678235 2064595 2375348 2969185 3356470 4129190 5938370 6712940 7719881 8258380 11876740 15439762 30879524 35656039 38599405 71312078 77198810 142624156 154397620 178280195 356560390 463528507 713120780 820088897 927057014 1640177794 1854114028 2317642535 3280355588 4100444485 4635285070 8200888970 9270570140 10661155661 16401777940 21322311322 42644622644 53305778305 106611556610 213223113220