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104351140161 = 345342157737
BaseRepresentation
bin110000100101111010…
…0000000100101000001
3100222100102002011110000
41201023310000211001
53202202342441121
6115534355030213
710352630025222
oct1411364004501
9328312064400
10104351140161
1140289553104
1218282b9b369
139ac00c62a8
14509cc9b249
152aab221526
hex184bd00941

104351140161 has 40 divisors (see below), whose sum is σ = 159203758824. Its totient is φ = 68091528960.

The previous prime is 104351140097. The next prime is 104351140163. The reversal of 104351140161 is 161041153401.

104351140161 is a `hidden beast` number, since 10 + 4 + 351 + 140 + 161 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 590490000 + 103760650161 = 24300^2 + 322119^2 .

It is not a de Polignac number, because 104351140161 - 26 = 104351140097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104351140163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1778485 + ... + 1836221.

Almost surely, 2104351140161 is an apocalyptic number.

It is an amenable number.

104351140161 is a deficient number, since it is larger than the sum of its proper divisors (54852618663).

104351140161 is an equidigital number, since it uses as much as digits as its factorization.

104351140161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58223 (or 58214 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 104351140161 its reverse (161041153401), we get a palindrome (265392293562).

The spelling of 104351140161 in words is "one hundred four billion, three hundred fifty-one million, one hundred forty thousand, one hundred sixty-one".

Divisors: 1 3 9 27 53 81 159 421 477 1263 1431 3789 4293 11367 22313 34101 57737 66939 173211 200817 519633 602451 1558899 1807353 3060061 4676697 9180183 24307277 27540549 72921831 82621647 218765493 247864941 656296479 1288285681 1968889437 3864857043 11594571129 34783713387 104351140161