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105141150352 = 247938760271
BaseRepresentation
bin110000111101011100…
…1101010001010010000
3101001101110121211200201
41201322321222022100
53210312113302402
6120145015424544
710411332014020
oct1417271521220
9331343554621
10105141150352
1140654490497
1218463685154
139bb798c144
145135b85a80
152b05773687
hex187ae6a290

105141150352 has 20 divisors (see below), whose sum is σ = 232812547456. Its totient is φ = 45060492960.

The previous prime is 105141150343. The next prime is 105141150371. The reversal of 105141150352 is 253051141501.

It is a super-2 number, since 2×1051411503522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 105141150352.

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 3 ways as a sum of consecutive naturals, for example, 469380024 + ... + 469380247.

Almost surely, 2105141150352 is an apocalyptic number.

It is an amenable number.

105141150352 is an abundant number, since it is smaller than the sum of its proper divisors (127671397104).

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

105141150352 is an equidigital number, since it uses as much as digits as its factorization.

105141150352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938760286 (or 938760280 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 105141150352 its reverse (253051141501), we get a palindrome (358192291853).

The spelling of 105141150352 in words is "one hundred five billion, one hundred forty-one million, one hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 938760271 1877520542 3755041084 6571321897 7510082168 13142643794 15020164336 26285287588 52570575176 105141150352