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20280312330 = 23523281104597
BaseRepresentation
bin10010111000110011…
…010000001000001010
31221100100222121110220
4102320303100020022
5313013224443310
613152221250510
71315364545005
oct227063201012
957310877426
1020280312330
118667786903
123b1ba03a36
131bb27a1515
14da561253c
157da68b670
hex4b8cd020a

20280312330 has 64 divisors (see below), whose sum is σ = 50970187008. Its totient is φ = 5154490880.

The previous prime is 20280312293. The next prime is 20280312389. The reversal of 20280312330 is 3321308202.

It is a super-3 number, since 3×202803123303 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 20280312330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141592 + ... + 246188.

It is an arithmetic number, because the mean of its divisors is an integer number (796409172).

Almost surely, 220280312330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20280312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25485093504).

20280312330 is an abundant number, since it is smaller than the sum of its proper divisors (30689874678).

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

20280312330 is a wasteful number, since it uses less digits than its factorization.

20280312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104911.

The product of its (nonzero) digits is 1728, while the sum is 24.

The spelling of 20280312330 in words is "twenty billion, two hundred eighty million, three hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 281 345 562 690 843 1405 1686 2810 4215 6463 8430 12926 19389 32315 38778 64630 96945 104597 193890 209194 313791 522985 627582 1045970 1568955 2405731 3137910 4811462 7217193 12028655 14434386 24057310 29391757 36085965 58783514 72171930 88175271 146958785 176350542 293917570 440876355 676010411 881752710 1352020822 2028031233 3380052055 4056062466 6760104110 10140156165 20280312330