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2104402100 = 225253397057
BaseRepresentation
bin111110101101110…
…1010000010110100
312102122210200222112
41331123222002310
513302211331400
6544452350152
7103102060043
oct17533520264
95378720875
102104402100
1198a975499
124a8915358
13276c9c758
1415d6b455a
15c4b36835
hex7d6ea0b4

2104402100 has 36 divisors (see below), whose sum is σ = 4652725644. Its totient is φ = 825876480.

The previous prime is 2104402093. The next prime is 2104402123. The reversal of 2104402100 is 12044012.

It can be written as a sum of positive squares in 6 ways, for example, as 19749136 + 2084652964 = 4444^2 + 45658^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 193229 + ... + 203828.

It is an arithmetic number, because the mean of its divisors is an integer number (129242379).

Almost surely, 22104402100 is an apocalyptic number.

2104402100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2104402100 is an abundant number, since it is smaller than the sum of its proper divisors (2548323544).

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

2104402100 is a wasteful number, since it uses less digits than its factorization.

2104402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397124 (or 397117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2104402100 is about 45873.7626536128. The cubic root of 2104402100 is about 1281.4733400868.

Adding to 2104402100 its reverse (12044012), we get a palindrome (2116446112).

The spelling of 2104402100 in words is "two billion, one hundred four million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 397057 794114 1588228 1985285 3970570 7941140 9926425 19852850 21044021 39705700 42088042 84176084 105220105 210440210 420880420 526100525 1052201050 2104402100