Search a number
-
+
3303423213030 = 23553143852691
BaseRepresentation
bin110000000100100011010…
…111011111110111100110
3102200210201020120112200000
4300010203113133313212
5413110402320304110
611005323252002130
7460443623004363
oct60044327376746
912623636515600
103303423213030
111063a79313656
12454285900346
131ac685921345
14b5c5a92946a
155ade26e31c0
hex301235dfde6

3303423213030 has 96 divisors (see below), whose sum is σ = 9194330815488. Its totient is φ = 852496293600.

The previous prime is 3303423212939. The next prime is 3303423213031. The reversal of 3303423213030 is 303123243033.

It is a happy number.

3303423213030 is a `hidden beast` number, since 3 + 3 + 0 + 34 + 2 + 321 + 303 + 0 = 666.

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 = 3303423212985 and 3303423213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3303423213031) 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 47 ways as a sum of consecutive naturals, for example, 21851016 + ... + 22001675.

It is an arithmetic number, because the mean of its divisors is an integer number (95774279328).

Almost surely, 23303423213030 is an apocalyptic number.

3303423213030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3303423213030 is an abundant number, since it is smaller than the sum of its proper divisors (5890907602458).

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

3303423213030 is a wasteful number, since it uses less digits than its factorization.

3303423213030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43852744 (or 43852732 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 3303423213030 its reverse (303123243033), we get a palindrome (3606546456063).

The spelling of 3303423213030 in words is "three trillion, three hundred three billion, four hundred twenty-three million, two hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 810 837 930 1215 1395 1674 2430 2511 2790 4185 5022 7533 8370 12555 15066 25110 37665 75330 43852691 87705382 131558073 219263455 263116146 394674219 438526910 657790365 789348438 1184022657 1315580730 1359433421 1973371095 2368045314 2718866842 3552067971 3946742190 4078300263 5920113285 6797167105 7104135942 8156600526 10656203913 11840226570 12234900789 13594334210 17760339855 20391501315 21312407826 24469801578 35520679710 36704702367 40783002630 53281019565 61174503945 73409404734 106562039130 110114107101 122349007890 183523511835 220228214202 330342321303 367047023670 550570535505 660684642606 1101141071010 1651711606515 3303423213030