Search a number
-
+
33042134202 = 237112910492351
BaseRepresentation
bin11110110001011101…
…101111010010111010
310011021202121022222020
4132301131233102322
51020132241243302
623102423335310
72246546335530
oct366135572272
9104252538866
1033042134202
1113016472530
1264a18b1536
13316770c6cc
14185649c150
15cd5c41ebc
hex7b176f4ba

33042134202 has 128 divisors (see below), whose sum is σ = 85349376000. Its totient is φ = 8275008000.

The previous prime is 33042134149. The next prime is 33042134221. The reversal of 33042134202 is 20243124033.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14053327 + ... + 14055677.

It is an arithmetic number, because the mean of its divisors is an integer number (666792000).

Almost surely, 233042134202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33042134202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674688000).

33042134202 is an abundant number, since it is smaller than the sum of its proper divisors (52307241798).

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

33042134202 is a wasteful number, since it uses less digits than its factorization.

33042134202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 33042134202 its reverse (20243124033), we get a palindrome (53285258235).

The spelling of 33042134202 in words is "thirty-three billion, forty-two million, one hundred thirty-four thousand, two hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 406 462 609 638 957 1049 1218 1914 2098 2233 2351 3147 4466 4702 6294 6699 7053 7343 11539 13398 14106 14686 16457 22029 23078 25861 30421 32914 34617 44058 49371 51722 60842 68179 69234 77583 80773 91263 98742 136358 155166 161546 181027 182526 204537 212947 242319 334631 362054 409074 425894 477253 484638 543081 638841 669262 749969 954506 1003893 1086162 1277682 1431759 1499938 2007786 2249907 2342417 2466199 2863518 4499814 4684834 4932398 5249783 7027251 7398597 10499566 14054502 14797194 15749349 17263393 27128189 31498698 34526786 51790179 54256378 71519771 81384567 103580358 143039542 162769134 189897323 214559313 379794646 429118626 500638397 569691969 786717481 1001276794 1139383938 1501915191 1573434962 2360152443 3003830382 4720304886 5507022367 11014044734 16521067101 33042134202