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213111030304 = 25192107172411
BaseRepresentation
bin1100011001111001101…
…0000100001000100000
3202101002002000000220101
43012132122010020200
511442422410432204
6241522444552144
721253042604104
oct3063632041040
9671062000811
10213111030304
118241a691337
1235376552654
13171336c7183
14a4594ad904
155824508ea4
hex319e684220

213111030304 has 72 divisors (see below), whose sum is σ = 446947765488. Its totient is φ = 100003317120.

The previous prime is 213111030263. The next prime is 213111030311. The reversal of 213111030304 is 403030111312.

It is a super-2 number, since 2×2131110303042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1149859 + ... + 1322269.

It is an arithmetic number, because the mean of its divisors is an integer number (6207607854).

Almost surely, 2213111030304 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 213111030304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223473882744).

213111030304 is an abundant number, since it is smaller than the sum of its proper divisors (233836735184).

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

213111030304 is a wasteful number, since it uses less digits than its factorization.

213111030304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172566 (or 172539 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213111030304 its reverse (403030111312), we get a palindrome (616141141616).

The spelling of 213111030304 in words is "two hundred thirteen billion, one hundred eleven million, thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 107 152 214 304 361 428 608 722 856 1444 1712 2033 2888 3424 4066 5776 8132 11552 16264 32528 38627 65056 77254 154508 172411 309016 344822 618032 689644 1236064 1379288 2758576 3275809 5517152 6551618 13103236 18447977 26206472 36895954 52412944 62240371 73791908 104825888 124480742 147583816 248961484 295167632 350511563 497922968 590335264 701023126 995845936 1402046252 1991691872 2804092504 5608185008 6659719697 11216370016 13319439394 26638878788 53277757576 106555515152 213111030304