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11223306306 = 23273191197227
BaseRepresentation
bin10100111001111011…
…00001000001000010
31001222011122000220100
422130331201001002
5140441131300211
65053402223230
7545060346432
oct123475410102
931864560810
1011223306306
11483a29a163
1222127b4b16
13109b281c64
147867dc2c2
1545a49e156
hex29cf61042

11223306306 has 96 divisors (see below), whose sum is σ = 25014832128. Its totient is φ = 3635815680.

The previous prime is 11223306301. The next prime is 11223306323. The reversal of 11223306306 is 60360332211.

It is a happy number.

11223306306 is a `hidden beast` number, since 1 + 1 + 2 + 23 + 3 + 0 + 630 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11223306306.

It is not an unprimeable number, because it can be changed into a prime (11223306301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49441765 + ... + 49441991.

It is an arithmetic number, because the mean of its divisors is an integer number (260571168).

Almost surely, 211223306306 is an apocalyptic number.

11223306306 is an abundant number, since it is smaller than the sum of its proper divisors (13791525822).

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

11223306306 is a wasteful number, since it uses less digits than its factorization.

11223306306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11223306306 its reverse (60360332211), we get a palindrome (71583638517).

The spelling of 11223306306 in words is "eleven billion, two hundred twenty-three million, three hundred six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 73 146 191 197 219 227 382 394 438 454 573 591 657 681 1146 1182 1314 1362 1719 1773 2043 3438 3546 4086 13943 14381 16571 27886 28762 33142 37627 41829 43143 43357 44719 49713 75254 83658 86286 86714 89438 99426 112881 125487 129429 130071 134157 149139 225762 250974 258858 260142 268314 298278 338643 390213 402471 677286 780426 804942 2746771 3165061 3264487 5493542 6330122 6528974 8240313 8541329 9495183 9793461 16480626 17082658 18990366 19586922 24720939 25623987 28485549 29380383 49441878 51247974 56971098 58760766 76871961 153743922 623517017 1247034034 1870551051 3741102102 5611653153 11223306306