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106416362330 = 2561383455491
BaseRepresentation
bin110001100011011101…
…0001101001101011010
3101011200100011022122222
41203012322031031122
53220420042043310
6120515331544042
710455045104135
oct1430672151532
9334610138588
10106416362330
1141149298093
121875a75b022
13a05bc28545
14521729321c
152b7c6b9055
hex18c6e8d35a

106416362330 has 32 divisors (see below), whose sum is σ = 195198363648. Its totient is φ = 41759323200.

The previous prime is 106416362309. The next prime is 106416362347. The reversal of 106416362330 is 33263614601.

106416362330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1064163623302 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5885 + ... + 461375.

It is an arithmetic number, because the mean of its divisors is an integer number (6099948864).

Almost surely, 2106416362330 is an apocalyptic number.

106416362330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106416362330 is a deficient number, since it is larger than the sum of its proper divisors (88782001318).

106416362330 is a wasteful number, since it uses less digits than its factorization.

106416362330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455942.

The product of its (nonzero) digits is 46656, while the sum is 35.

Adding to 106416362330 its reverse (33263614601), we get a palindrome (139679976931).

The spelling of 106416362330 in words is "one hundred six billion, four hundred sixteen million, three hundred sixty-two thousand, three hundred thirty".

Divisors: 1 2 5 10 61 122 305 383 610 766 1915 3830 23363 46726 116815 233630 455491 910982 2277455 4554910 27784951 55569902 138924755 174453053 277849510 348906106 872265265 1744530530 10641636233 21283272466 53208181165 106416362330