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201042341341 = 2937432101333
BaseRepresentation
bin1011101100111100001…
…1101010110111011101
3201012220222122010000021
42323033003222313131
511243213314410331
6232205123032141
720345005464022
oct2731703526735
9635828563007
10201042341341
1178297184726
1232b6880b651
1315c5c2627ba
149a326d1549
155369c1b211
hex2ecf0eaddd

201042341341 has 24 divisors (see below), whose sum is σ = 218680798680. Its totient is φ = 184469636736.

The previous prime is 201042341333. The next prime is 201042341393. The reversal of 201042341341 is 143143240102.

It can be written as a sum of positive squares in 4 ways, for example, as 111859478116 + 89182863225 = 334454^2 + 298635^2 .

It is not a de Polignac number, because 201042341341 - 23 = 201042341333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201049341341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1933311 + ... + 2034643.

It is an arithmetic number, because the mean of its divisors is an integer number (9111699945).

Almost surely, 2201042341341 is an apocalyptic number.

It is an amenable number.

201042341341 is a deficient number, since it is larger than the sum of its proper divisors (17638457339).

201042341341 is a wasteful number, since it uses less digits than its factorization.

201042341341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101485 (or 101442 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 201042341341 its reverse (143143240102), we get a palindrome (344185581443).

The spelling of 201042341341 in words is "two hundred one billion, forty-two million, three hundred forty-one thousand, three hundred forty-one".

Divisors: 1 29 37 43 1073 1247 1591 1849 46139 53621 68413 101333 1983977 2938657 3749321 4357319 108730309 126362251 161220803 187364717 4675403287 5433576793 6932494529 201042341341