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320121103131 = 3343259251433
BaseRepresentation
bin1001010100010001011…
…01000110001100011011
31010121021210022222021000
410222020231012030123
520221102000300011
6403021150120043
732061620323524
oct4521055061433
91117253288230
10320121103131
11113843020955
125205bab0023
13242586285ab
14116cb54d84b
1584d8d9c356
hex4a88b4631b

320121103131 has 96 divisors (see below), whose sum is σ = 496880697600. Its totient is φ = 203630112000.

The previous prime is 320121103123. The next prime is 320121103139. The reversal of 320121103131 is 131301121023.

320121103131 is a `hidden beast` number, since 320 + 1 + 21 + 10 + 313 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (320121103123) and next prime (320121103139).

It is not a de Polignac number, because 320121103131 - 23 = 320121103123 is a prime.

It is a super-2 number, since 2×3201211031312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320121103139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 739309491 + ... + 739309923.

It is an arithmetic number, because the mean of its divisors is an integer number (5175840600).

Almost surely, 2320121103131 is an apocalyptic number.

320121103131 is a deficient number, since it is larger than the sum of its proper divisors (176759594469).

320121103131 is a wasteful number, since it uses less digits than its factorization.

320121103131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 320121103131 its reverse (131301121023), we get a palindrome (451422224154).

The spelling of 320121103131 in words is "three hundred twenty billion, one hundred twenty-one million, one hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 43 59 129 177 251 387 433 531 753 1161 1299 1593 1849 2259 2537 3897 5547 6777 7611 10793 11691 14809 16641 18619 22833 25547 32379 44427 49923 55857 68499 76641 97137 108683 109091 133281 167571 229923 291411 326049 327273 399843 464099 502713 636787 689769 800617 978147 981819 1098521 1392297 1910361 2401851 2934441 2945457 3295563 4176891 4673369 5731083 6412297 7205553 9886689 12530673 14020107 17193249 19236891 21616659 27381841 29660067 42060321 47236403 57710673 82145523 126180963 141709209 173132019 200954867 246436569 275728771 425127627 602864601 739309707 827186313 1275382881 1808593803 2481558939 5425781409 7444676817 11856337153 35569011459 106707034377 320121103131