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312386323105 = 517193166711423
BaseRepresentation
bin1001000101110111010…
…11010000001010100001
31002212022201222102202201
410202323223100022201
520104231344314410
6355301443013201
731366136635453
oct4427353201241
91085281872681
10312386323105
11110533a3216a
125066166a201
13235c502668c
14111961a42d3
1581d4ce083a
hex48bbad02a1

312386323105 has 32 divisors (see below), whose sum is σ = 399245220864. Its totient is φ = 233828990976.

The previous prime is 312386323103. The next prime is 312386323153. The reversal of 312386323105 is 501323683213.

It is not a de Polignac number, because 312386323105 - 21 = 312386323103 is a prime.

It is a super-2 number, since 2×3123863231052 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312386323103) 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 31 ways as a sum of consecutive naturals, for example, 27341424 + ... + 27352846.

It is an arithmetic number, because the mean of its divisors is an integer number (12476413152).

Almost surely, 2312386323105 is an apocalyptic number.

It is an amenable number.

312386323105 is a deficient number, since it is larger than the sum of its proper divisors (86858897759).

312386323105 is a wasteful number, since it uses less digits than its factorization.

312386323105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13305.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 312386323105 in words is "three hundred twelve billion, three hundred eighty-six million, three hundred twenty-three thousand, one hundred five".

Divisors: 1 5 17 85 193 965 1667 3281 8335 11423 16405 28339 57115 141695 194191 321731 970955 1608655 2204639 5469427 11023195 19042141 27347135 37478863 95210705 187394315 323716397 1618581985 3675133213 18375666065 62477264621 312386323105