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105114102352 = 2472035746103
BaseRepresentation
bin110000111100101001…
…0011110101001010000
3101001022120201122210221
41201321102132221100
53210233202233402
6120142212002424
710410553061620
oct1417122365120
9331276648727
10105114102352
1140640196976
1218456600414
139bb21ab9cc
145132344880
152b031ce337
hex187949ea50

105114102352 has 40 divisors (see below), whose sum is σ = 232769137536. Its totient is φ = 45045710976.

The previous prime is 105114102343. The next prime is 105114102389. The reversal of 105114102352 is 253201411501.

It is a super-2 number, since 2×1051141023522 (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 7 ways as a sum of consecutive naturals, for example, 2256933 + ... + 2303035.

Almost surely, 2105114102352 is an apocalyptic number.

It is an amenable number.

105114102352 is an abundant number, since it is smaller than the sum of its proper divisors (127655035184).

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

105114102352 is a wasteful number, since it uses less digits than its factorization.

105114102352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66475 (or 66469 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 105114102352 its reverse (253201411501), we get a palindrome (358315513853).

The spelling of 105114102352 in words is "one hundred five billion, one hundred fourteen million, one hundred two thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 20357 40714 46103 81428 92206 142499 162856 184412 284998 322721 325712 368824 569996 645442 737648 1139992 1290884 2279984 2581768 5163536 938518771 1877037542 3754075084 6569631397 7508150168 13139262794 15016300336 26278525588 52557051176 105114102352