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104144410100 = 22523133594971
BaseRepresentation
bin110000011111101111…
…1011001010111110100
3100221211000002012010002
41200333133121113310
53201241432110400
6115502052050432
710344536610533
oct1407737312764
9327730065102
10104144410100
1140192893815
1218225903a18
139a89323903
14507d64631a
152a97ed7ed5
hex183f7d95f4

104144410100 has 36 divisors (see below), whose sum is σ = 233283485568. Its totient is φ = 40313964000.

The previous prime is 104144410091. The next prime is 104144410103. The reversal of 104144410100 is 1014441401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104144410103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16794386 + ... + 16800585.

Almost surely, 2104144410100 is an apocalyptic number.

104144410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104144410100 is an abundant number, since it is smaller than the sum of its proper divisors (129139075468).

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

104144410100 is a wasteful number, since it uses less digits than its factorization.

104144410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595016 (or 33595009 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 104144410100 its reverse (1014441401), we get a palindrome (105158851501).

The spelling of 104144410100 in words is "one hundred four billion, one hundred forty-four million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 33594971 67189942 134379884 167974855 335949710 671899420 839874275 1041444101 1679748550 2082888202 3359497100 4165776404 5207220505 10414441010 20828882020 26036102525 52072205050 104144410100