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213030202242 = 2311138916211721
BaseRepresentation
bin1100011001100110010…
…1101110101110000010
3202100212102220112122110
43012121211232232002
511442241212432432
6241510440320150
721251041561554
oct3063145565602
9670772815573
10213030202242
1182388aa4a90
1235353473056
131711ca36c10
14a44c86d4d4
15581c38edcc
hex319996eb82

213030202242 has 128 divisors (see below), whose sum is σ = 506777160960. Its totient is φ = 58848768000.

The previous prime is 213030202241. The next prime is 213030202289. The reversal of 213030202242 is 242202030312.

213030202242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213030202241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 123781942 + ... + 123783662.

It is an arithmetic number, because the mean of its divisors is an integer number (3959196570).

Almost surely, 2213030202242 is an apocalyptic number.

213030202242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213030202242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253388580480).

213030202242 is an abundant number, since it is smaller than the sum of its proper divisors (293746958718).

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

213030202242 is a wasteful number, since it uses less digits than its factorization.

213030202242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 213030202242 its reverse (242202030312), we get a palindrome (455232232554).

The spelling of 213030202242 in words is "two hundred thirteen billion, thirty million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 89 143 178 267 286 429 534 858 979 1157 1621 1721 1958 2314 2937 3242 3442 3471 4863 5163 5874 6942 9726 10326 12727 17831 18931 21073 22373 25454 35662 37862 38181 42146 44746 53493 56793 63219 67119 76362 106986 113586 126438 134238 144269 153169 231803 246103 288538 306338 432807 459507 463606 492206 695409 738309 865614 919014 1390818 1476618 1586959 1684859 1875497 1991197 2789741 3173918 3369718 3750994 3982394 4760877 5054577 5579482 5626491 5973591 8369223 9521754 10109154 11252982 11947182 16738446 20630467 21903167 30687151 36266633 41260934 43806334 61374302 61891401 65709501 72533266 92061453 108799899 123782802 131419002 184122906 217599798 248286949 398932963 496573898 744860847 797865926 1196798889 1489721694 2393597778 2731156439 3227730337 5462312878 6455460674 8193469317 9683191011 16386938634 19366382022 35505033707 71010067414 106515101121 213030202242