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2041313212431 = 33377872596387
BaseRepresentation
bin11101101101000111101…
…111111011100000001111
321020010222121221111021000
4131231013233323200033
5231421102140244211
64201433310311343
7300323434005363
oct35550757734017
97203877844230
102041313212431
11717797100859
1228b7537b8553
1311a6586c96bc
1470b2b61b2a3
1538174e14656
hex1db47bfb80f

2041313212431 has 32 divisors (see below), whose sum is σ = 3109849690880. Its totient is φ = 1322412088608.

The previous prime is 2041313212399. The next prime is 2041313212439. The reversal of 2041313212431 is 1342123131402.

2041313212431 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 13 + 212 + 431 = 666.

It is not a de Polignac number, because 2041313212431 - 25 = 2041313212399 is a prime.

It is a super-3 number, since 3×20413132124313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2041313212395 and 2041313212404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2041313212439) 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, 511981 + ... + 2084406.

It is an arithmetic number, because the mean of its divisors is an integer number (97182802840).

Almost surely, 22041313212431 is an apocalyptic number.

2041313212431 is a deficient number, since it is larger than the sum of its proper divisors (1068536478449).

2041313212431 is a wasteful number, since it uses less digits than its factorization.

2041313212431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597220 (or 2597214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2041313212431 its reverse (1342123131402), we get a palindrome (3383436343833).

The spelling of 2041313212431 in words is "two trillion, forty-one billion, three hundred thirteen million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 9 27 37 111 333 787 999 2361 7083 21249 29119 87357 262071 786213 2596387 7789161 23367483 70102449 96066319 288198957 864596871 2043356569 2593790613 6130069707 18390209121 55170627363 75604193053 226812579159 680437737477 2041313212431