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11230322112 = 263414511493
BaseRepresentation
bin10100111010110000…
…10001110111000000
31001222122211110210000
422131120101313000
5140444430301422
65054212440000
7545204106612
oct123530216700
931878743700
1011230322112
114843251249
122215019000
13109c86a419
14787706db2
1545add7cac
hex29d611dc0

11230322112 has 140 divisors (see below), whose sum is σ = 33335448696. Its totient is φ = 3738355200.

The previous prime is 11230322107. The next prime is 11230322119. The reversal of 11230322112 is 21122303211.

11230322112 is a `hidden beast` number, since 1 + 1 + 230 + 322 + 112 = 666.

It is a super-2 number, since 2×112303221122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230322119) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7521238 + ... + 7522730.

Almost surely, 211230322112 is an apocalyptic number.

11230322112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11230322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667724348).

11230322112 is an abundant number, since it is smaller than the sum of its proper divisors (22105126584).

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

11230322112 is a wasteful number, since it uses less digits than its factorization.

11230322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11230322112 its reverse (21122303211), we get a palindrome (32352625323).

The spelling of 11230322112 in words is "eleven billion, two hundred thirty million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1451 1493 1728 2592 2902 2986 4353 4479 5184 5804 5972 8706 8958 11608 11944 13059 13437 17412 17916 23216 23888 26118 26874 34824 35832 39177 40311 46432 47776 52236 53748 69648 71664 78354 80622 92864 95552 104472 107496 117531 120933 139296 143328 156708 161244 208944 214992 235062 241866 278592 286656 313416 322488 417888 429984 470124 483732 626832 644976 835776 859968 940248 967464 1253664 1289952 1880496 1934928 2166343 2507328 2579904 3760992 3869856 4332686 6499029 7521984 7739712 8665372 12998058 17330744 19497087 25996116 34661488 38994174 51992232 58491261 69322976 77988348 103984464 116982522 138645952 155976696 175473783 207968928 233965044 311953392 350947566 415937856 467930088 623906784 701895132 935860176 1247813568 1403790264 1871720352 2807580528 3743440704 5615161056 11230322112