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213420031024 = 24172109423439
BaseRepresentation
bin1100011011000011010…
…0110011110000110000
3202101212121102220012111
43012300310303300300
511444041011443044
6242013243535104
721263514221614
oct3066064636060
9671777386174
10213420031024
1182569053132
1235441b2a494
1317182726a35
14a488547344
1558416e4b34
hex31b0d33c30

213420031024 has 60 divisors (see below), whose sum is σ = 443286632800. Its totient is φ = 99511317504.

The previous prime is 213420031021. The next prime is 213420031079. The reversal of 213420031024 is 420130024312.

It is a junction number, because it is equal to n+sod(n) for n = 213420030986 and 213420031004.

It is not an unprimeable number, because it can be changed into a prime (213420031021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 292297 + ... + 715735.

Almost surely, 2213420031024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213420031024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221643316400).

213420031024 is an abundant number, since it is smaller than the sum of its proper divisors (229866601776).

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

213420031024 is a wasteful number, since it uses less digits than its factorization.

213420031024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423590 (or 423567 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 213420031024 its reverse (420130024312), we get a palindrome (633550055336).

The spelling of 213420031024 in words is "two hundred thirteen billion, four hundred twenty million, thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 289 436 578 872 1156 1744 1853 2312 3706 4624 7412 14824 29648 31501 63002 126004 252008 423439 504016 846878 1693756 3387512 6775024 7198463 14396926 28793852 46154851 57587704 92309702 115175408 122373871 184619404 244747742 369238808 489495484 738477616 784632467 978990968 1569264934 1957981936 3138529868 6277059736 12554119472 13338751939 26677503878 53355007756 106710015512 213420031024