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11306015322 = 237192799439
BaseRepresentation
bin10101000011110010…
…00001101001011010
31002011221021002100020
422201321001221122
5141123314442242
65105515051310
7550113354540
oct124171015132
932157232306
1011306015322
114881a50718
122236440b36
1310b24503c4
147937abd90
1546288a6ec
hex2a1e41a5a

11306015322 has 96 divisors (see below), whose sum is σ = 27622195200. Its totient is φ = 3021217056.

The previous prime is 11306015269. The next prime is 11306015333. The reversal of 11306015322 is 22351060311.

It is a super-2 number, since 2×113060153222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11306015292 and 11306015301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193079 + ... + 1202517.

It is an arithmetic number, because the mean of its divisors is an integer number (287731200).

Almost surely, 211306015322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11306015322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13811097600).

11306015322 is an abundant number, since it is smaller than the sum of its proper divisors (16316179878).

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

11306015322 is a wasteful number, since it uses less digits than its factorization.

11306015322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9568 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11306015322 its reverse (22351060311), we get a palindrome (33657075633).

The spelling of 11306015322 in words is "eleven billion, three hundred six million, fifteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 79 114 133 158 237 266 361 399 474 553 722 798 1083 1106 1501 1659 2166 2527 3002 3318 4503 5054 7581 9006 9439 10507 15162 18878 21014 28317 28519 31521 56634 57038 63042 66073 85557 132146 171114 179341 198219 199633 358682 396438 399266 538023 598899 745681 1076046 1197798 1255387 1491362 2237043 2510774 3407479 3766161 4474086 5219767 6814958 7532322 10222437 10439534 14167939 15659301 20444874 23852353 28335878 31318602 42503817 47704706 71557059 85007634 99175573 143114118 198351146 269190841 297526719 538381682 595053438 807572523 1615145046 1884335887 3768671774 5653007661 11306015322