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107010343916 = 22719478351563
BaseRepresentation
bin110001110101001010…
…0000100001111101100
3101020012201211201012222
41203222110010033230
53223124122001131
6121054311014512
710505546625650
oct1435224041754
9336181751188
10107010343916
1141423605263
12188a566a438
13a124cc7938
145272110a60
152bb48e887b
hex18ea5043ec

107010343916 has 96 divisors (see below), whose sum is σ = 232854773760. Its totient is φ = 42010242624.

The previous prime is 107010343901. The next prime is 107010343987. The reversal of 107010343916 is 619343010701.

It is a happy number.

It is a super-2 number, since 2×1070103439162 (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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2049551 + ... + 2101113.

It is an arithmetic number, because the mean of its divisors is an integer number (2425570560).

Almost surely, 2107010343916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107010343916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116427386880).

107010343916 is an abundant number, since it is smaller than the sum of its proper divisors (125844429844).

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

107010343916 is a wasteful number, since it uses less digits than its factorization.

107010343916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51723 (or 51721 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 107010343916 in words is "one hundred seven billion, ten million, three hundred forty-three thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 47 76 83 94 133 166 188 266 329 332 532 581 658 893 1162 1316 1577 1786 2324 3154 3572 3901 6251 6308 7802 11039 12502 15604 22078 25004 27307 44156 51563 54614 74119 103126 109228 148238 206252 296476 360941 518833 721882 979697 1037666 1443764 1959394 2075332 2423461 3918788 4279729 4846922 6857879 8559458 9693844 13715758 16964227 17118916 27431516 29958103 33928454 46045759 59916206 67856908 81314851 92091518 119832412 162629702 184183036 201147263 322320313 325259404 402294526 569203957 644640626 804589052 1138407914 1289281252 1408030841 2276815828 2816061682 3821797997 5632123364 7643595994 15287191988 26752585979 53505171958 107010343916