Search a number
-
+
133103123332311 = 31173893976132551
BaseRepresentation
bin11110010000111001111100…
…011000100111110011010111
3122110021112102112000121221010
4132100321330120213303113
5114421230144033113221
61151030421500223303
740015245322630266
oct3620717430476327
9573245375017833
10133103123332311
1139457799147880
1212b1833a83ab33
1359367559cb942
1424c2322c645dd
15105c4b732dc76
hex790e7c627cd7

133103123332311 has 128 divisors (see below), whose sum is σ = 199364386129920. Its totient is φ = 78312655872000.

The previous prime is 133103123332307. The next prime is 133103123332327. The reversal of 133103123332311 is 113233321301331.

It is not a de Polignac number, because 133103123332311 - 22 = 133103123332307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133103123332351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52176840486 + ... + 52176843036.

It is an arithmetic number, because the mean of its divisors is an integer number (1557534266640).

Almost surely, 2133103123332311 is an apocalyptic number.

133103123332311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133103123332311 is a deficient number, since it is larger than the sum of its proper divisors (66261262797609).

133103123332311 is a wasteful number, since it uses less digits than its factorization.

133103123332311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737.

The product of its (nonzero) digits is 8748, while the sum is 30.

Adding to 133103123332311 its reverse (113233321301331), we get a palindrome (246336444633642).

The spelling of 133103123332311 in words is "one hundred thirty-three trillion, one hundred three billion, one hundred twenty-three million, three hundred thirty-two thousand, three hundred eleven".

Divisors: 1 3 11 33 73 89 219 267 397 613 803 979 1191 1839 2409 2551 2937 4367 6497 6743 7653 13101 19491 20229 28061 28981 35333 44749 54557 71467 84183 86943 105999 134247 163671 186223 214401 227039 243361 318791 388663 492239 558669 600127 681117 730083 956373 1012747 1165989 1476717 1563763 1800381 2048453 2497429 2579309 2676971 3038241 3982661 4691289 6145359 7492287 7737927 8030913 11140217 11947983 16573847 17201393 17765353 21659129 28372399 33420651 43809271 49721541 51604179 53296059 64977387 73930531 85117197 90134483 114154699 131427813 139174907 182312317 195418883 221791593 238250419 270403449 342464097 417524721 546936951 586256649 620813911 714751257 813235841 991479313 1255701689 1530923977 1581116417 1862441733 2439707523 2974437939 3767105067 4592771931 4743349251 6579817259 6828953021 10159768211 17392280587 19739451777 20486859063 30479304633 45319415503 52176841761 55252438079 72377989849 111757450321 135958246509 165757314237 217133969547 335272350963 498513570533 607776818869 1495540711599 1823330456607 4033427979767 12100283939301 44367707777437 133103123332311