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2330412681135 = 357112859213533
BaseRepresentation
bin100001111010010111011…
…010111000011110101111
322020210012110121011011210
4201322113122320132233
5301140141121244020
64542324331245503
7330236540645310
oct41722732703657
98223173534153
102330412681135
11819360228600
123177965a9893
1313b9ac0b9696
1480b14b82607
15409456313e0
hex21e976b87af

2330412681135 has 96 divisors (see below), whose sum is σ = 4689411632640. Its totient is φ = 967351207680.

The previous prime is 2330412681067. The next prime is 2330412681139. The reversal of 2330412681135 is 5311862140332.

It is not a de Polignac number, because 2330412681135 - 212 = 2330412677039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2330412681093 and 2330412681102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330412681139) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10806829 + ... + 11020361.

It is an arithmetic number, because the mean of its divisors is an integer number (48848037840).

Almost surely, 22330412681135 is an apocalyptic number.

2330412681135 is an abundant number, since it is smaller than the sum of its proper divisors (2358998951505).

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

2330412681135 is a wasteful number, since it uses less digits than its factorization.

2330412681135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214429 (or 214418 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 2330412681135 in words is "two trillion, three hundred thirty billion, four hundred twelve million, six hundred eighty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 859 1155 1815 2541 2577 4235 4295 6013 9449 12705 12885 18039 28347 30065 47245 66143 90195 103939 141735 198429 213533 311817 330715 519695 640599 727573 992145 1067665 1494731 1559085 2182719 2348863 3202995 3637865 4484193 7046589 7473655 10913595 11744315 16442041 22420965 25837493 35232945 49326123 77512479 82210205 129187465 180862451 183424847 246630615 387562395 542587353 550274541 904312255 917124235 1283973929 2017673317 2712936765 2751372705 3851921787 6053019951 6419869645 10088366585 14123713219 19259608935 22194406487 30265099755 42371139657 66583219461 70618566095 110972032435 155360845409 211855698285 332916097305 466082536227 776804227045 2330412681135