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133311222010323 = 3473137478742821
BaseRepresentation
bin11110010011111011110000…
…000010000101000111010011
3122111000102120021101210010000
4132103323300002011013103
5114433132340313312243
61151310155133141043
740036263233332410
oct3623736002050723
9574012507353100
10133311222010323
1139527a764546a5
1212b5073662a783
13595026ab30a86
1424cc424779107
151062ae67915d3
hex793ef00851d3

133311222010323 has 160 divisors (see below), whose sum is σ = 241340396064768. Its totient is φ = 71711387078400.

The previous prime is 133311222010303. The next prime is 133311222010381. The reversal of 133311222010323 is 323010222113331.

133311222010323 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 112 + 220 + 1 + 0 + 323 = 666.

It is not a de Polignac number, because 133311222010323 - 216 = 133311221944787 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (133311222010303) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 3113199253 + ... + 3113242073.

Almost surely, 2133311222010323 is an apocalyptic number.

133311222010323 is a deficient number, since it is larger than the sum of its proper divisors (108029174054445).

133311222010323 is a wasteful number, since it uses less digits than its factorization.

133311222010323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47695 (or 47686 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133311222010323 its reverse (323010222113331), we get a palindrome (456321444123654).

The spelling of 133311222010323 in words is "one hundred thirty-three trillion, three hundred eleven billion, two hundred twenty-two million, ten thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 27 31 37 63 81 93 111 189 217 259 279 333 567 651 777 837 999 1147 1953 2331 2511 2997 3441 4787 5859 6993 8029 10323 14361 17577 20979 24087 30969 33509 42821 43083 72261 92907 100527 128463 129249 148397 177119 216783 299747 301581 385389 387747 445191 531357 650349 899241 904743 1038779 1156167 1239833 1327451 1335573 1584377 1594071 2697723 2714229 3116337 3468501 3719499 3982353 4006719 4753131 4782213 5490689 8093169 9292157 9349011 11090639 11158497 11947059 12020157 14259393 14346639 16472067 24279507 27876471 28047033 33271917 33475491 35841177 38434823 42778179 49115687 49416201 83629413 84141099 99815751 100426473 107523531 115304469 128334537 147347061 148248603 204984127 250888239 299447253 343809809 345913407 442041183 444745809 614952381 752664717 898341759 1031429427 1037740221 1326123549 1434888889 1844857143 3094288281 3113220663 3978370647 4304666667 5534571429 6354507937 7584412699 9282864843 12914000001 16603714287 19063523811 22753238097 27848594529 38742000003 44481555559 53090888893 57190571433 68259714291 116226000009 133444666677 159272666679 171571714299 204779142873 235116793669 400334000031 477818000037 514715142897 614337428619 705350381007 1201002000093 1433454000111 1645817555683 2116051143021 3603006000279 4300362000333 4937452667049 6348153429063 14812358001147 19044460287189 44437074003441 133311222010323