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106344140310 = 23251181601559
BaseRepresentation
bin110001100001010011…
…0101100111000010110
3101011111022021001200100
41203002212230320112
53220243044442220
6120504231554530
710453210164252
oct1430246547026
9334438231610
10106344140310
1141111549671
121873a52ba46
13a049c8c515
14520b853262
152b7619ed90
hex18c29ace16

106344140310 has 24 divisors (see below), whose sum is σ = 276494765040. Its totient is φ = 28358437392.

The previous prime is 106344140299. The next prime is 106344140321. The reversal of 106344140310 is 13041443601.

106344140310 is a `hidden beast` number, since 1 + 0 + 6 + 344 + 1 + 4 + 0 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (106344140299) and next prime (106344140321).

It is a super-2 number, since 2×1063441403102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 590800690 + ... + 590800869.

It is an arithmetic number, because the mean of its divisors is an integer number (11520615210).

Almost surely, 2106344140310 is an apocalyptic number.

106344140310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106344140310 is an abundant number, since it is smaller than the sum of its proper divisors (170150624730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106344140310 is a wasteful number, since it uses less digits than its factorization.

106344140310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181601572 (or 1181601569 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 106344140310 its reverse (13041443601), we get a palindrome (119385583911).

The spelling of 106344140310 in words is "one hundred six billion, three hundred forty-four million, one hundred forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1181601559 2363203118 3544804677 5908007795 7089609354 10634414031 11816015590 17724023385 21268828062 35448046770 53172070155 106344140310