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105046315130 = 2539726460029
BaseRepresentation
bin110000111010100111…
…1111001000001111010
3101001010212011201020002
41201311033321001322
53210113324041010
6120131351033002
710406100642341
oct1416517710172
9331125151202
10105046315130
11406059a7379
121843796b762
139ba1136423
14512733ab58
152aec28e1a5
hex18753f907a

105046315130 has 16 divisors (see below), whose sum is σ = 189559654920. Its totient is φ = 41912684352.

The previous prime is 105046315097. The next prime is 105046315133. The reversal of 105046315130 is 31513640501.

It can be written as a sum of positive squares in 4 ways, for example, as 82598185201 + 22448129929 = 287399^2 + 149827^2 .

It is a super-2 number, since 2×1050463151302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105046315093 and 105046315102.

It is not an unprimeable number, because it can be changed into a prime (105046315133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13226045 + ... + 13233984.

Almost surely, 2105046315130 is an apocalyptic number.

105046315130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105046315130 is a deficient number, since it is larger than the sum of its proper divisors (84513339790).

105046315130 is a wasteful number, since it uses less digits than its factorization.

105046315130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26460433.

The product of its (nonzero) digits is 5400, while the sum is 29.

Adding to 105046315130 its reverse (31513640501), we get a palindrome (136559955631).

The spelling of 105046315130 in words is "one hundred five billion, forty-six million, three hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 5 10 397 794 1985 3970 26460029 52920058 132300145 264600290 10504631513 21009263026 52523157565 105046315130