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343344211311101 = 71121331181928191
BaseRepresentation
bin100111000010001010000110…
…1110000000011100111111101
31200000200101102102110012122112
41032010110031300003213331
5330000322421043423401
63214122053031023405
7132214541425625150
oct11604241560034775
91600611372405575
10343344211311101
119a44450a357a00
12326124a980ab65
13119772b2a19890
1460add3c955c97
1529a6286a2b3bb
hex138450dc039fd

343344211311101 has 24 divisors (see below), whose sum is σ = 464486002348032. Its totient is φ = 246960871264800.

The previous prime is 343344211311071. The next prime is 343344211311133. The reversal of 343344211311101 is 101113112443343.

It is a happy number.

It is not a de Polignac number, because 343344211311101 - 242 = 338946164799997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343344211311161) 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 23 ways as a sum of consecutive naturals, for example, 15590953085 + ... + 15590975106.

It is an arithmetic number, because the mean of its divisors is an integer number (19353583431168).

Almost surely, 2343344211311101 is an apocalyptic number.

It is an amenable number.

343344211311101 is a deficient number, since it is larger than the sum of its proper divisors (121141791036931).

343344211311101 is a wasteful number, since it uses less digits than its factorization.

343344211311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31181928233 (or 31181928222 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

Adding to 343344211311101 its reverse (101113112443343), we get a palindrome (444457323754444).

The spelling of 343344211311101 in words is "three hundred forty-three trillion, three hundred forty-four billion, two hundred eleven million, three hundred eleven thousand, one hundred one".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1573 11011 31181928191 218273497337 343001210101 405365066483 2401008470707 2837555465381 3773013311111 4459015731313 26411093177777 31213110119191 49049173044443 343344211311101