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312211314101043 = 32765919181392059
BaseRepresentation
bin100011011111101000101110…
…0011110001100101100110011
31111221110002222021210021000100
41012333101130132030230303
5311410232232402213133
63024003521520523443
7122522344261641660
oct10677213436145463
91457402867707010
10312211314101043
1190531090529055
122b024789480583
13105295291353c6
145715172daaa67
1526164ed139e13
hex11bf45c78cb33

312211314101043 has 48 divisors (see below), whose sum is σ = 516206771308800. Its totient is φ = 178126000758720.

The previous prime is 312211314101041. The next prime is 312211314101051. The reversal of 312211314101043 is 340101413112213.

312211314101043 is a `hidden beast` number, since 3 + 1 + 2 + 211 + 31 + 410 + 1 + 0 + 4 + 3 = 666.

It is not a de Polignac number, because 312211314101043 - 21 = 312211314101041 is a prime.

It is a super-2 number, since 2×3122113141010432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312211314100998 and 312211314101016.

It is not an unprimeable number, because it can be changed into a prime (312211314101041) 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, 796141548 + ... + 796533606.

It is an arithmetic number, because the mean of its divisors is an integer number (10754307735600).

Almost surely, 2312211314101043 is an apocalyptic number.

312211314101043 is a deficient number, since it is larger than the sum of its proper divisors (203995457207757).

312211314101043 is a wasteful number, since it uses less digits than its factorization.

312211314101043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411912 (or 411909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 312211314101043 its reverse (340101413112213), we get a palindrome (652312727213256).

The spelling of 312211314101043 in words is "three hundred twelve trillion, two hundred eleven billion, three hundred fourteen million, one hundred one thousand, forty-three".

Divisors: 1 3 7 9 21 63 659 1977 4613 5931 13839 19181 41517 57543 134267 172629 392059 402801 1176177 1208403 2744413 3528531 8233239 12640279 24699717 37920837 88481953 113762511 258366881 265445859 775100643 796337577 1808568167 2325301929 5425704501 7520083679 16277113503 22560251037 52640585753 67680753111 157921757259 473765271777 4955735144461 14867205433383 34690146011227 44601616300149 104070438033681 312211314101043