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105041000144 = 246565062509
BaseRepresentation
bin110000111010011101…
…1100111011011010000
3101001010111011200102202
41201310323213123100
53210110444001034
6120131041102332
710406004524633
oct1416473473320
9331114150382
10105041000144
11406029a7123
12184360279a8
139b9ccc5172
145126755c1a
152aeba8e47e
hex1874ee76d0

105041000144 has 10 divisors (see below), whose sum is σ = 203516937810. Its totient is φ = 52520500064.

The previous prime is 105041000131. The next prime is 105041000147. The reversal of 105041000144 is 441000140501.

It can be written as a sum of positive squares in only one way, i.e., 104755795600 + 285204544 = 323660^2 + 16888^2 .

It is a super-2 number, since 2×1050410001442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105041000147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3282531239 + ... + 3282531270.

It is an arithmetic number, because the mean of its divisors is an integer number (20351693781).

Almost surely, 2105041000144 is an apocalyptic number.

It is an amenable number.

105041000144 is a deficient number, since it is larger than the sum of its proper divisors (98475937666).

105041000144 is an equidigital number, since it uses as much as digits as its factorization.

105041000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6565062517 (or 6565062511 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 105041000144 its reverse (441000140501), we get a palindrome (546041140645).

The spelling of 105041000144 in words is "one hundred five billion, forty-one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 6565062509 13130125018 26260250036 52520500072 105041000144