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343113323311343 = 133112549267712437
BaseRepresentation
bin100111000000011110100101…
…1110000001111000011101111
31122222212022110102221120010002
41032000331023300033003233
5324433032041231430333
63213424030143534515
7132162056003203544
oct11600751360170357
91588768412846102
10343113323311343
119a3655a8077382
12325957b18ba43b
131195b5a8381090
1460a2ab8514bcb
1529a0271a220e8
hex1380f4bc0f0ef

343113323311343 has 32 divisors (see below), whose sum is σ = 371008564617600. Its totient is φ = 315434495900160.

The previous prime is 343113323311333. The next prime is 343113323311349.

343113323311343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343113323311343 - 230 = 343112249569519 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343113323311297 and 343113323311306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343113323311349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27588103721 + ... + 27588116157.

It is an arithmetic number, because the mean of its divisors is an integer number (11594017644300).

Almost surely, 2343113323311343 is an apocalyptic number.

343113323311343 is a deficient number, since it is larger than the sum of its proper divisors (27895241306257).

343113323311343 is a wasteful number, since it uses less digits than its factorization.

343113323311343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17987.

The product of its digits is 209952, while the sum is 38.

The spelling of 343113323311343 in words is "three hundred forty-three trillion, one hundred thirteen billion, three hundred twenty-three million, three hundred eleven thousand, three hundred forty-three".

Divisors: 1 13 311 2549 2677 4043 12437 33137 34801 161681 792739 832547 3867907 6823673 10305607 10823111 31701913 33293849 50282791 88707749 412124869 432820037 2122162303 9859294943 10354387039 27588109939 84866021101 128170834259 134607031507 1103258274313 26393332562411 343113323311343