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343021121120343 = 317231274096598543
BaseRepresentation
bin100110111111110011101010…
…0000100110010100001010111
31122222112111110201020221212010
41031333213110010302201113
5324430024224001322333
63213313421054555303
7132152313103414221
oct11577472404624127
91588474421227763
10343021121120343
119a32a49336a626
123257b95b508b33
13119529a3241103
14609c44cd69411
15299cb77194563
hex137f9d4132857

343021121120343 has 128 divisors (see below), whose sum is σ = 511378823577600. Its totient is φ = 203417741463552.

The previous prime is 343021121120329. The next prime is 343021121120347.

343021121120343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343021121120343 - 217 = 343021120989271 is a prime.

It is a super-3 number, since 3×3430211211203433 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 343021121120343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343021121120347) 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, 40152298330 + ... + 40152306872.

It is an arithmetic number, because the mean of its divisors is an integer number (3995147059200).

Almost surely, 2343021121120343 is an apocalyptic number.

343021121120343 is a deficient number, since it is larger than the sum of its proper divisors (168357702457257).

343021121120343 is a wasteful number, since it uses less digits than its factorization.

343021121120343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9781.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 343021121120343 in words is "three hundred forty-three trillion, twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, three hundred forty-three".

Divisors: 1 3 17 23 51 69 127 381 391 409 659 1173 1227 1977 2159 2921 6477 6953 8543 8763 9407 11203 15157 20859 25629 28221 33609 45471 49657 51943 83693 145231 148971 155829 159919 196489 251079 257669 269531 435693 479757 589467 773007 808593 883031 1084961 1194689 1422781 1924939 2649093 3254883 3340313 3494087 3584067 4268343 4582027 5629837 5774817 6199213 10020939 10482261 13746081 16889511 18444337 18597639 20309713 24954103 32723963 34230437 55333011 59399479 60929139 74862309 80364001 95707229 98171889 102691311 105386621 129486251 178198437 241092003 287121687 316159863 388458753 424219751 443749049 581917429 714989299 787300051 1272659253 1331247147 1366188017 1745752287 2144967897 2201266267 2302603333 2361900153 4098564051 6603798801 6907809999 7543733833 10206228127 12154818083 13384100867 16444753877 22631201499 30618684381 36464454249 39144256661 40152302601 49334261631 52959876659 117432769983 158879629977 173505878159 279560815909 292430623291 520517634477 838682447727 877291869873 900317903203 2700953709609 4971320595947 6725904335693 14913961787841 20177713007079 114340373706781 343021121120343