Search a number
-
+
213303030332 = 22732934915361
BaseRepresentation
bin1100011010100111011…
…0011111001000111100
3202101120110021122102112
43012221312133020330
511443321033432312
6241553504113152
721260563562000
oct3065166371074
9671513248375
10213303030332
1182508aaa847
123540a9057b8
1317164410062
14a476bac700
1558362d2d22
hex31a9d9f23c

213303030332 has 96 divisors (see below), whose sum is σ = 451642800000. Its totient is φ = 88004689920.

The previous prime is 213303030323. The next prime is 213303030397. The reversal of 213303030332 is 233030303312.

It is a super-2 number, since 2×2133030303322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213303030298 and 213303030307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13878332 + ... + 13893692.

It is an arithmetic number, because the mean of its divisors is an integer number (4704612500).

Almost surely, 2213303030332 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 213303030332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225821400000).

213303030332 is an abundant number, since it is smaller than the sum of its proper divisors (238339769668).

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

213303030332 is a wasteful number, since it uses less digits than its factorization.

213303030332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15764 (or 15748 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 213303030332 its reverse (233030303312), we get a palindrome (446333333644).

The spelling of 213303030332 in words is "two hundred thirteen billion, three hundred three million, thirty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 343 349 406 686 698 812 1372 1396 1421 2443 2842 4886 5684 9772 9947 10121 15361 17101 19894 20242 30722 34202 39788 40484 61444 68404 70847 107527 119707 141694 215054 239414 283388 430108 445469 478828 495929 752689 890938 991858 1505378 1781876 1983716 3010756 3118283 3471503 5268823 5360989 6236566 6943006 10537646 10721978 12473132 13886012 21075292 21443956 21827981 37526923 43655962 75053846 87311924 150107692 152795867 155468681 262688461 305591734 310937362 525376922 611183468 621874724 1050753844 1088280767 1838819227 2176561534 3677638454 4353123068 7355276908 7617965369 15235930738 30471861476 53325757583 106651515166 213303030332