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4000012331211 = 3213241481313327
BaseRepresentation
bin111010001101010011010…
…100000110100011001011
3112011101201201220012011200
4322031103110012203023
51011014011124044321
612301325202155243
7561664014552141
oct72152324064313
915141651805150
104000012331211
111302439754256
12547290052b23
13230279525400
14db85cc2d591
156e0b20e3d26
hex3a3535068cb

4000012331211 has 72 divisors (see below), whose sum is σ = 6410837998656. Its totient is φ = 2400829217280.

The previous prime is 4000012331197. The next prime is 4000012331251. The reversal of 4000012331211 is 1121332100004.

4000012331211 is a `hidden beast` number, since 400 + 0 + 0 + 1 + 23 + 31 + 211 = 666.

It is not a de Polignac number, because 4000012331211 - 27 = 4000012331083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4000012331251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300136830 + ... + 300150156.

It is an arithmetic number, because the mean of its divisors is an integer number (89039416648).

Almost surely, 24000012331211 is an apocalyptic number.

4000012331211 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

4000012331211 is a deficient number, since it is larger than the sum of its proper divisors (2410825667445).

4000012331211 is a wasteful number, since it uses less digits than its factorization.

4000012331211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18213 (or 18197 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 4000012331211 its reverse (1121332100004), we get a palindrome (5121344431215).

The spelling of 4000012331211 in words is "four trillion, twelve million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 3 9 13 39 41 117 123 169 369 507 533 1521 1599 4797 4813 6929 13327 14439 20787 39981 43317 62361 62569 119943 173251 187707 197333 519753 546407 563121 591999 813397 1559259 1639221 1775997 2252263 2440191 2565329 4917663 6756789 7103291 7320573 7695987 20270367 21309873 23087961 33349277 63929619 64142851 92342783 100047831 192428553 277028349 300143493 577285659 831085047 833857063 2501571189 2629856891 7504713567 7889570673 10840141819 23668712019 32520425457 34188139583 97561276371 102564418749 307693256247 444445814579 1333337443737 4000012331211