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2124001341 = 327115357829
BaseRepresentation
bin111111010011001…
…1011000000111101
312111000200110002100
41332212123000331
513322221020331
6550432415313
7103430466510
oct17646330075
95430613070
102124001341
1199aa41710
124b33a7539
1327b072637
14162136d77
15c6708ae6
hex7e99b03d

2124001341 has 48 divisors (see below), whose sum is σ = 3897279360. Its totient is φ = 1082540160.

The previous prime is 2124001339. The next prime is 2124001361. The reversal of 2124001341 is 1431004212.

2124001341 is a `hidden beast` number, since 212 + 400 + 13 + 41 = 666.

It is not a de Polignac number, because 2124001341 - 21 = 2124001339 is a prime.

It is a super-2 number, since 2×21240013412 = 9022763393139596562, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124001361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815 + ... + 65643.

It is an arithmetic number, because the mean of its divisors is an integer number (81193320).

Almost surely, 22124001341 is an apocalyptic number.

2124001341 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2124001341 is a deficient number, since it is larger than the sum of its proper divisors (1773278019).

2124001341 is a wasteful number, since it uses less digits than its factorization.

2124001341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57906 (or 57903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2124001341 is about 46086.8890358202. The cubic root of 2124001341 is about 1285.4393650652.

Adding to 2124001341 its reverse (1431004212), we get a palindrome (3555005553).

The spelling of 2124001341 in words is "two billion, one hundred twenty-four million, one thousand, three hundred forty-one".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 477 583 693 1113 1749 3339 4081 5247 12243 36729 57829 173487 404803 520461 636119 1214409 1908357 3064937 3643227 4452833 5725071 9194811 13358499 21454559 27584433 33714307 40075497 64363677 101142921 193091031 236000149 303428763 708000447 2124001341