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11332230333030 = 23257116831105367
BaseRepresentation
bin1010010011100111110110…
…0100000100001001100110
31111010100110121122021011200
42210321331210010021212
52441131401431124110
640033542120343330
72246504142340335
oct244717544041146
944110417567150
1011332230333030
113679a76657482
121330319014b46
13642817709b29
142b26a9017d1c
15149b9d6a16c0
hexa4e7d904266

11332230333030 has 96 divisors (see below), whose sum is σ = 29880840757248. Its totient is φ = 2979160430400.

The previous prime is 11332230332953. The next prime is 11332230333031. The reversal of 11332230333030 is 3033303223311.

11332230333030 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 22 + 303 + 330 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11332230332985 and 11332230333003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332230333031) 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, 107497407 + ... + 107602773.

It is an arithmetic number, because the mean of its divisors is an integer number (311258757888).

Almost surely, 211332230333030 is an apocalyptic number.

11332230333030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332230333030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14940420378624).

11332230333030 is an abundant number, since it is smaller than the sum of its proper divisors (18548610424218).

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

11332230333030 is a wasteful number, since it uses less digits than its factorization.

11332230333030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122282 (or 122279 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 11332230333030 its reverse (3033303223311), we get a palindrome (14365533556341).

The spelling of 11332230333030 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty million, three hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 6390 16831 33662 50493 84155 100986 105367 151479 168310 210734 252465 302958 316101 504930 526835 632202 757395 948303 1053670 1195001 1514790 1580505 1896606 2390002 3161010 3585003 4741515 5975005 7170006 7481057 9483030 10755009 11950010 14962114 17925015 21510018 22443171 35850030 37405285 44886342 53775045 67329513 74810570 107550090 112215855 134659026 224431710 336647565 673295130 1773431977 3546863954 5320295931 8867159885 10640591862 15960887793 17734319770 26601479655 31921775586 53202959310 79804438965 125913670367 159608877930 251827340734 377741011101 629568351835 755482022202 1133223033303 1259136703670 1888705055505 2266446066606 3777410111010 5666115166515 11332230333030