Search a number
-
+
211233313130 = 25753173329111
BaseRepresentation
bin1100010010111001111…
…1001001000101101010
3202012020012202010011212
43010232133021011222
511430101212010010
6241012250553122
721155362352030
oct3045637110552
9665205663155
10211233313130
1181646775664
1234b317387a2
1316bc4695b18
14a31bd66550
15576474d505
hex312e7c916a

211233313130 has 64 divisors (see below), whose sum is σ = 445296434688. Its totient is φ = 70645436160.

The previous prime is 211233313111. The next prime is 211233313147. The reversal of 211233313130 is 31313332112.

211233313130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211233313096 and 211233313105.

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, 477275 + ... + 806385.

It is an arithmetic number, because the mean of its divisors is an integer number (6957756792).

Almost surely, 2211233313130 is an apocalyptic number.

211233313130 is an abundant number, since it is smaller than the sum of its proper divisors (234063121558).

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

211233313130 is a wasteful number, since it uses less digits than its factorization.

211233313130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329351.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 211233313130 its reverse (31313332112), we get a palindrome (242546645242).

The spelling of 211233313130 in words is "two hundred eleven billion, two hundred thirty-three million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 53 70 106 173 265 346 371 530 742 865 1211 1730 1855 2422 3710 6055 9169 12110 18338 45845 64183 91690 128366 320915 329111 641830 658222 1645555 2303777 3291110 4607554 11518885 17442883 23037770 34885766 56936203 87214415 113872406 122100181 174428830 244200362 284681015 398553421 569362030 610500905 797106842 1221001810 1992767105 3017618759 3985534210 6035237518 15088093795 21123331313 30176187590 42246662626 105616656565 211233313130