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11331121233033 = 3672339529967
BaseRepresentation
bin1010010011100011101101…
…1101001011110010001001
31111010020121022200011000000
42210320323131023302021
52441122114013424113
640033240100433213
72246434514213550
oct244707335136211
944106538604000
1011331121233033
113679557597208
1213300696a8809
1364269b9c1144
142b26019cad97
15149b3611e373
hexa4e3b74bc89

11331121233033 has 56 divisors (see below), whose sum is σ = 19499229404928. Its totient is φ = 6447136358592.

The previous prime is 11331121232993. The next prime is 11331121233059. The reversal of 11331121233033 is 33033212113311.

11331121233033 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 2 + 12 + 330 + 3 + 3 = 666.

It is not a de Polignac number, because 11331121233033 - 216 = 11331121167497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11331121232988 and 11331121233006.

It is not an unprimeable number, because it can be changed into a prime (11331121238033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3575985 + ... + 5953982.

It is an arithmetic number, because the mean of its divisors is an integer number (348200525088).

Almost surely, 211331121233033 is an apocalyptic number.

It is an amenable number.

11331121233033 is a deficient number, since it is larger than the sum of its proper divisors (8168108171895).

11331121233033 is an frugal number, since it uses more digits than its factorization.

11331121233033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530225 (or 9530210 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331121233033 its reverse (33033212113311), we get a palindrome (44364333346344).

The spelling of 11331121233033 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, two hundred thirty-three thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 233 243 567 699 729 1631 1701 2097 4893 5103 6291 14679 18873 44037 56619 132111 169857 396333 1188999 9529967 28589901 66709769 85769703 200129307 257309109 600387921 771927327 1801163763 2220482311 2315781981 5403491289 6661446933 6947345943 15543376177 16210473867 19984340799 46630128531 48631421601 59953022397 139890385593 179859067191 419671156779 539577201573 1259013470337 1618731604719 3777040411011 11331121233033