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312443423131 = 7315327166631
BaseRepresentation
bin1001000101111110001…
…01000100100110011011
31002212110201102102021111
410202333011010212123
520104341004020011
6355311242521151
731400432164030
oct4427705044633
91085421372244
10312443423131
11110563192274
12506788061b7
1323603ac9688
141119d9c9387
1581d9d1e121
hex48bf14499b

312443423131 has 16 divisors (see below), whose sum is σ = 375551520768. Its totient is φ = 254279656800.

The previous prime is 312443423093. The next prime is 312443423141. The reversal of 312443423131 is 131324344213.

It is a cyclic number.

It is not a de Polignac number, because 312443423131 - 29 = 312443422619 is a prime.

It is a super-3 number, since 3×3124434231313 (a number of 35 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 (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312443423093 and 312443423102.

It is not an unprimeable number, because it can be changed into a prime (312443423141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13571815 + ... + 13594816.

It is an arithmetic number, because the mean of its divisors is an integer number (23471970048).

Almost surely, 2312443423131 is an apocalyptic number.

312443423131 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

312443423131 is a deficient number, since it is larger than the sum of its proper divisors (63108097637).

312443423131 is a wasteful number, since it uses less digits than its factorization.

312443423131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27166722.

The product of its digits is 20736, while the sum is 31.

Adding to 312443423131 its reverse (131324344213), we get a palindrome (443767767344).

The spelling of 312443423131 in words is "three hundred twelve billion, four hundred forty-three million, four hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 31 53 217 371 1643 11501 27166631 190166417 842165561 1439831443 5895158927 10078820101 44634774733 312443423131