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106832340013 = 724015437037
BaseRepresentation
bin110001101111110110…
…1000010010000101101
3101012202022220011202211
41203133231002100231
53222243034340023
6121024511450421
710501255623100
oct1433755022055
9335668804684
10106832340013
11413420862a3
1218855b26a11
13a0c7172499
145256616737
152ba3e86a0d
hex18dfb4242d

106832340013 has 12 divisors (see below), whose sum is σ = 124584288732. Its totient is φ = 91342204800.

The previous prime is 106832340011. The next prime is 106832340029. The reversal of 106832340013 is 310043238601.

It can be written as a sum of positive squares in 2 ways, for example, as 100934560804 + 5897779209 = 317702^2 + 76797^2 .

It is not a de Polignac number, because 106832340013 - 21 = 106832340011 is a prime.

It is a super-2 number, since 2×1068323400132 (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 (106832340011) 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 11 ways as a sum of consecutive naturals, for example, 2698870 + ... + 2738167.

It is an arithmetic number, because the mean of its divisors is an integer number (10382024061).

Almost surely, 2106832340013 is an apocalyptic number.

It is an amenable number.

106832340013 is a deficient number, since it is larger than the sum of its proper divisors (17751948719).

106832340013 is an equidigital number, since it uses as much as digits as its factorization.

106832340013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437452 (or 5437445 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 106832340013 its reverse (310043238601), we get a palindrome (416875578614).

The spelling of 106832340013 in words is "one hundred six billion, eight hundred thirty-two million, three hundred forty thousand, thirteen".

Divisors: 1 7 49 401 2807 19649 5437037 38059259 266414813 2180251837 15261762859 106832340013