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106411322106 = 2342328559131
BaseRepresentation
bin110001100011010011…
…0111110101011111010
3101011122222200020210000
41203012212332223322
53220412244301411
6120515031533430
710454654212455
oct1430646765372
9334588606700
10106411322106
1141146465311
1218758b2a276
13a05ab8236b
14521674049c
152b7c020956
hex18c69beafa

106411322106 has 40 divisors (see below), whose sum is σ = 248807157984. Its totient is φ = 33928246440.

The previous prime is 106411322071. The next prime is 106411322153. The reversal of 106411322106 is 601223114601.

It is a happy number.

106411322106 is a `hidden beast` number, since 1 + 0 + 6 + 411 + 32 + 210 + 6 = 666.

It is a super-2 number, since 2×1064113221062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106411322106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14275840 + ... + 14283291.

Almost surely, 2106411322106 is an apocalyptic number.

106411322106 is an abundant number, since it is smaller than the sum of its proper divisors (142395835878).

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

106411322106 is a wasteful number, since it uses less digits than its factorization.

106411322106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28559168 (or 28559159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 106411322106 its reverse (601223114601), we get a palindrome (707634436707).

The spelling of 106411322106 in words is "one hundred six billion, four hundred eleven million, three hundred twenty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1242 1863 3726 28559131 57118262 85677393 171354786 257032179 514064358 656860013 771096537 1313720026 1542193074 1970580039 2313289611 3941160078 4626579222 5911740117 11823480234 17735220351 35470440702 53205661053 106411322106