Search a number
-
+
3330332220033 = 347131307345689
BaseRepresentation
bin110000011101100111010…
…001001101101010000001
3102210101011120121201210000
4300131213101031222001
5414031010022020113
611025533345230213
7462415510541010
oct60354721155201
912711146551700
103330332220033
111074427797915
12459535632369
131b20837c2cb0
14b7290642a77
155b969ca2373
hex3076744da81

3330332220033 has 80 divisors (see below), whose sum is σ = 6127706471040. Its totient is φ = 1755309636864.

The previous prime is 3330332220031. The next prime is 3330332220053. The reversal of 3330332220033 is 3300222330333.

3330332220033 is a `hidden beast` number, since 3 + 3 + 303 + 322 + 2 + 0 + 0 + 33 = 666.

It is not a de Polignac number, because 3330332220033 - 21 = 3330332220031 is a prime.

It is a super-2 number, since 2×33303322200332 (a number of 26 digits) contains 22 as substring.

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 = 3330332219979 and 3330332220006.

It is not an unprimeable number, because it can be changed into a prime (3330332220031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9461053 + ... + 9806741.

It is an arithmetic number, because the mean of its divisors is an integer number (76596330888).

Almost surely, 23330332220033 is an apocalyptic number.

It is an amenable number.

3330332220033 is a deficient number, since it is larger than the sum of its proper divisors (2797374251007).

3330332220033 is a wasteful number, since it uses less digits than its factorization.

3330332220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347028 (or 347019 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 27.

Adding to 3330332220033 its reverse (3300222330333), we get a palindrome (6630554550366).

The spelling of 3330332220033 in words is "three trillion, three hundred thirty billion, three hundred thirty-two million, two hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 13 21 27 39 63 81 91 117 189 273 351 567 819 1053 1307 2457 3921 7371 9149 11763 16991 27447 35289 50973 82341 105867 118937 152919 247023 345689 356811 458757 741069 1037067 1070433 1376271 2419823 3111201 3211299 4493957 7259469 9333603 9633897 13481871 21778407 28000809 31457699 40445613 65335221 94373097 121336839 196005663 283119291 364010517 451815523 849357873 1355446569 2548073619 3162708661 4066339707 5873601799 9488125983 12199019121 17620805397 28464377949 36597057363 41115212593 52862416191 85393133847 123345637779 158587248573 256179401541 370036913337 475761745719 1110110740011 3330332220033