Search a number
-
+
302034210141012 = 2232319711173497177
BaseRepresentation
bin100010010101100101101000…
…1110011100011001101010100
31110121102012002102012122220220
41010223023101303203031110
5304042012030244003022
62550212333423154340
7120422152201412436
oct10453132163431524
91417365072178826
10302034210141012
1188267a97677618
1229a60305a459b0
13cc6b91c34aa7b
145482768946656
1524db909d9985c
hex112b2d1ce3354

302034210141012 has 96 divisors (see below), whose sum is σ = 739188213426432. Its totient is φ = 95803158291456.

The previous prime is 302034210140983. The next prime is 302034210141049. The reversal of 302034210141012 is 210141012430203.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 607249768 + ... + 607746944.

It is an arithmetic number, because the mean of its divisors is an integer number (7699877223192).

Almost surely, 2302034210141012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302034210141012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369594106713216).

302034210141012 is an abundant number, since it is smaller than the sum of its proper divisors (437154003285420).

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

302034210141012 is a wasteful number, since it uses less digits than its factorization.

302034210141012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508577 (or 508575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 302034210141012 its reverse (210141012430203), we get a palindrome (512175222571215).

The spelling of 302034210141012 in words is "three hundred two trillion, thirty-four billion, two hundred ten million, one hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 197 276 394 591 788 1182 2364 4531 9062 11173 13593 18124 22346 27186 33519 44692 54372 67038 134076 256979 497177 513958 770937 994354 1027916 1491531 1541874 1988708 2201081 2983062 3083748 4402162 5966124 6603243 8804324 11435071 13206486 22870142 26412972 34305213 45740284 50624863 68610426 97943869 101249726 137220852 151874589 195887738 202499452 293831607 303749178 391775476 587663214 607498356 1175326428 2252708987 4505417974 5554958621 6758126961 9010835948 11109917242 13516253922 16664875863 22219834484 27032507844 33329751726 66659503452 127764048283 255528096566 383292144849 511056193132 766584289698 1094326848337 1533168579396 2188653696674 3282980545011 4377307393348 6565961090022 13131922180044 25169517511751 50339035023502 75508552535253 100678070047004 151017105070506 302034210141012