Search a number
-
+
33133301026530 = 23541831601202717
BaseRepresentation
bin1111000100010011100101…
…01000110100111011100010
311100022111211201100210122220
413202021302220310323202
513320324000030322110
6154245121154211510
76656542041566565
oct742116250647342
9140274751323586
1033133301026530
11a614832711a61
123871557583b96
1315645c29c52c3
14827935d144dc
153c6d17088370
hex1e2272a34ee2

33133301026530 has 128 divisors (see below), whose sum is σ = 82492772011776. Its totient is φ = 8510828544000.

The previous prime is 33133301026481. The next prime is 33133301026591. The reversal of 33133301026530 is 3562010333133.

It is a junction number, because it is equal to n+sod(n) for n = 33133301026491 and 33133301026500.

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, 163344732 + ... + 163547448.

It is an arithmetic number, because the mean of its divisors is an integer number (644474781342).

Almost surely, 233133301026530 is an apocalyptic number.

33133301026530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33133301026530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41246386005888).

33133301026530 is an abundant number, since it is smaller than the sum of its proper divisors (49359470985246).

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

33133301026530 is a wasteful number, since it uses less digits than its factorization.

33133301026530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204452.

The product of its (nonzero) digits is 43740, while the sum is 33.

Adding to 33133301026530 its reverse (3562010333133), we get a palindrome (36695311359663).

The spelling of 33133301026530 in words is "thirty-three trillion, one hundred thirty-three billion, three hundred one million, twenty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 83 123 166 205 246 249 410 415 498 615 830 1230 1245 1601 2490 3202 3403 4803 6806 8005 9606 10209 16010 17015 20418 24015 34030 48030 51045 65641 102090 131282 132883 196923 202717 265766 328205 393846 398649 405434 608151 656410 664415 797298 984615 1013585 1216302 1328830 1969230 1993245 2027170 3040755 3986490 5448203 6081510 8311397 10896406 16344609 16622794 16825511 24934191 27241015 32689218 33651022 41556985 49868382 50476533 54482030 81723045 83113970 84127555 100953066 124670955 163446090 168255110 249341910 252382665 324549917 504765330 649099834 689845951 973649751 1379691902 1622749585 1947299502 2069537853 3245499170 3449229755 4139075706 4868248755 6898459510 9736497510 10347689265 13306546597 20695378530 26613093194 26937643111 39919639791 53875286222 66532732985 79839279582 80812929333 133065465970 134688215555 161625858666 199598198955 269376431110 399196397910 404064646665 808129293330 1104443367551 2208886735102 3313330102653 5522216837755 6626660205306 11044433675510 16566650513265 33133301026530