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133002430345311 = 33137592573896553
BaseRepresentation
bin11110001111011100001010…
…100111010111000001011111
3122102220220112001101220020020
4132033130022213113001133
5114413102434132022221
61150512250100123223
740005052132436442
oct3617341247270137
9572826461356206
10133002430345311
113941901762234a
1212b00918996513
13592a0c9766c27
1424bb4cdb73659
151059a72359ac6
hex78f70a9d705f

133002430345311 has 128 divisors (see below), whose sum is σ = 192457822003200. Its totient is φ = 81531855175680.

The previous prime is 133002430345289. The next prime is 133002430345313. The reversal of 133002430345311 is 113543034200331.

It is a happy number.

It is not a de Polignac number, because 133002430345311 - 29 = 133002430344799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133002430345313) 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, 20296415211 + ... + 20296421763.

It is an arithmetic number, because the mean of its divisors is an integer number (1503576734400).

Almost surely, 2133002430345311 is an apocalyptic number.

133002430345311 is a deficient number, since it is larger than the sum of its proper divisors (59455391657889).

133002430345311 is a wasteful number, since it uses less digits than its factorization.

133002430345311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 133002430345311 its reverse (113543034200331), we get a palindrome (246545464545642).

The spelling of 133002430345311 in words is "one hundred thirty-three trillion, two billion, four hundred thirty million, three hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 31 37 59 93 111 177 257 389 771 1147 1167 1829 2183 3441 5487 6549 6553 7967 9509 12059 14393 15163 19659 22951 23901 28527 36177 43179 45489 67673 68853 99973 203019 203143 242461 294779 299919 386627 446183 470053 561031 609429 711481 727383 849187 884337 1159881 1338549 1410159 1683093 1684121 2134443 2547561 2549117 3099163 3699001 5052363 5898407 7516291 7647351 9297489 11097003 11985437 14305199 17391961 17695221 22548873 26324797 35956311 42915597 52175883 52207751 62312477 78974391 79022627 94317329 99363139 114669031 150397903 156623253 182850617 186937431 218241059 237067881 282951987 298089417 344007093 443461169 451193709 548551851 654723177 655123069 1330383507 1931686787 1965369207 2923837199 3080257309 3676436143 4662334993 5564722411 5795060361 6765472829 8771511597 9240771927 11029308429 13987004979 16694167233 20296418487 20308815139 24239553553 38652261071 60926445417 72718660659 113969520433 115956783213 172506394741 341908561299 517519184223 751426160143 1198220093201 1430133659627 2254278480429 3594660279603 4290400978881 44334143448437 133002430345311