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105441015042 = 232115310047743
BaseRepresentation
bin110001000110011000…
…1100011010100000010
3101002011100212112201100
41202030301203110002
53211420344440132
6120234450515230
710421632561056
oct1421461432402
9332140775640
10105441015042
1140798782250
1218527b95b16
139c34b4047c
145163921c66
152b21c5737c
hex188cc63502

105441015042 has 48 divisors (see below), whose sum is σ = 253926586368. Its totient is φ = 31348955040.

The previous prime is 105441015037. The next prime is 105441015061. The reversal of 105441015042 is 240510144501.

105441015042 is a `hidden beast` number, since 1 + 0 + 54 + 4 + 101 + 504 + 2 = 666.

It is a super-2 number, since 2×1054410150422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105441014997 and 105441015015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5013378 + ... + 5034365.

It is an arithmetic number, because the mean of its divisors is an integer number (5290137216).

Almost surely, 2105441015042 is an apocalyptic number.

105441015042 is an abundant number, since it is smaller than the sum of its proper divisors (148485571326).

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

105441015042 is a wasteful number, since it uses less digits than its factorization.

105441015042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10047815 (or 10047812 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 105441015042 its reverse (240510144501), we get a palindrome (345951159543).

The spelling of 105441015042 in words is "one hundred five billion, four hundred forty-one million, fifteen thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 10047743 20095486 30143229 60286458 90429687 110525173 180859374 221050346 331575519 532530379 663151038 994726557 1065060758 1597591137 1989453114 3195182274 4792773411 5857834169 9585546822 11715668338 17573502507 35147005014 52720507521 105441015042