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2330030133333 = 3272326946312911
BaseRepresentation
bin100001111010000000100…
…111100101000001010101
322020202012210202201020200
4201322000213211001111
5301133400203231313
64542222344051113
7330224214231510
oct41720047450125
98222183681220
102330030133333
118191842a27a1
123176aa463a99
1313b94aa78936
1480aba041d77
1540921c68b73
hex21e809e5055

2330030133333 has 96 divisors (see below), whose sum is σ = 4037567938560. Its totient is φ = 1265983931520.

The previous prime is 2330030133313. The next prime is 2330030133337. The reversal of 2330030133333 is 3333310300332.

2330030133333 is a `hidden beast` number, since 23 + 3 + 0 + 0 + 301 + 3 + 3 + 333 = 666.

It is not a de Polignac number, because 2330030133333 - 213 = 2330030125141 is a prime.

It is a super-3 number, since 3×23300301333333 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2330030133297 and 2330030133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330030133337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180462148 + ... + 180475058.

It is an arithmetic number, because the mean of its divisors is an integer number (42057999360).

Almost surely, 22330030133333 is an apocalyptic number.

2330030133333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2330030133333 is a deficient number, since it is larger than the sum of its proper divisors (1707537805227).

2330030133333 is a wasteful number, since it uses less digits than its factorization.

2330030133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13679 (or 13676 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 27.

Adding to 2330030133333 its reverse (3333310300332), we get a palindrome (5663340433665).

The spelling of 2330030133333 in words is "two trillion, three hundred thirty billion, thirty million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 23 63 69 161 207 269 463 483 807 1389 1449 1883 2421 3241 4167 5649 6187 9723 10649 12911 16947 18561 29169 31947 38733 43309 55683 74543 90377 95841 116199 124547 129927 223629 271131 296953 373641 389781 670887 813393 871829 890859 1120923 2078671 2615487 2672577 2864581 3473059 5977793 6236013 7846461 8593743 10419177 17933379 18708039 20052067 24311413 25781229 31257531 41844551 53800137 60156201 72934239 79880357 125533653 137489239 180468603 218802717 239641071 376600959 412467717 559162499 718923213 962424673 1237403151 1608026317 1677487497 2887274019 4824078951 5032462491 8661822057 11256184219 14472236853 33768552657 36984605291 101305657971 110953815873 258892237037 332861447619 776676711111 2330030133333