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106312459279 = 1378710391209
BaseRepresentation
bin110001100000010110…
…1110110010000001111
3101011102002122111110211
41203000231312100033
53220211442144104
6120501140543251
710452343664605
oct1430055662017
9334362574424
10106312459279
11410a56801a4
121872b9b1b27
13a043549350
145207567875
152b734e2e04
hex18c0b7640f

106312459279 has 8 divisors (see below), whose sum is σ = 114635828720. Its totient is φ = 98009873856.

The previous prime is 106312459277. The next prime is 106312459291. The reversal of 106312459279 is 972954213601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106312459279 - 21 = 106312459277 is a prime.

It is a super-2 number, since 2×1063124592792 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106312459271) 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 7 ways as a sum of consecutive naturals, for example, 5185374 + ... + 5205835.

It is an arithmetic number, because the mean of its divisors is an integer number (14329478590).

Almost surely, 2106312459279 is an apocalyptic number.

106312459279 is a deficient number, since it is larger than the sum of its proper divisors (8323369441).

106312459279 is a wasteful number, since it uses less digits than its factorization.

106312459279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392009.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 106312459279 in words is "one hundred six billion, three hundred twelve million, four hundred fifty-nine thousand, two hundred seventy-nine".

Divisors: 1 13 787 10231 10391209 135085717 8177881483 106312459279