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2053262431341 = 321137355603283
BaseRepresentation
bin11101111000001111111…
…110100101010001101101
321021021211101111201001100
4131320033332211101231
5232120040140300331
64211131123433313
7301225520462322
oct35701776452155
97237741451040
102053262431341
11721869128890
12291b29525839
1311b811191434
14715425bab49
1538623ea3ae6
hex1de0ffa546d

2053262431341 has 24 divisors (see below), whose sum is σ = 3244118001696. Its totient is φ = 1241065254240.

The previous prime is 2053262431309. The next prime is 2053262431361. The reversal of 2053262431341 is 1431342623502.

2053262431341 is a `hidden beast` number, since 2 + 0 + 53 + 26 + 243 + 1 + 341 = 666.

It is not a de Polignac number, because 2053262431341 - 25 = 2053262431309 is a prime.

It is a super-2 number, since 2×20532624313412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2053262431296 and 2053262431305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053262431361) 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, 27764715 + ... + 27838568.

It is an arithmetic number, because the mean of its divisors is an integer number (135171583404).

Almost surely, 22053262431341 is an apocalyptic number.

It is an amenable number.

2053262431341 is a deficient number, since it is larger than the sum of its proper divisors (1190855570355).

2053262431341 is a wasteful number, since it uses less digits than its factorization.

2053262431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55603673 (or 55603670 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2053262431341 in words is "two trillion, fifty-three billion, two hundred sixty-two million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 99 373 1119 3357 4103 12309 36927 55603283 166809849 500429547 611636113 1834908339 5504725017 20740024559 62220073677 186660221031 228140270149 684420810447 2053262431341