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104141332100 = 22521326162209
BaseRepresentation
bin110000011111101001…
…1101001111010000100
3100221210210021210220002
41200333103221322010
53201240140111400
6115501502100432
710344501501011
oct1407723517204
9327723253802
10104141332100
1140191081213
121822487a718
139a887b6900
14507d084708
152a97acaed5
hex183f4e9e84

104141332100 has 54 divisors (see below), whose sum is σ = 244707521310. Its totient is φ = 38452177920.

The previous prime is 104141332073. The next prime is 104141332109. The reversal of 104141332100 is 1233141401.

It can be written as a sum of positive squares in 9 ways, for example, as 49131382336 + 55009949764 = 221656^2 + 234542^2 .

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

It is not an unprimeable number, because it can be changed into a prime (104141332109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3064205 + ... + 3098004.

It is an arithmetic number, because the mean of its divisors is an integer number (4531620765).

Almost surely, 2104141332100 is an apocalyptic number.

104141332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104141332100 is an abundant number, since it is smaller than the sum of its proper divisors (140566189210).

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

104141332100 is a wasteful number, since it uses less digits than its factorization.

104141332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6162249 (or 6162229 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 104141332100 its reverse (1233141401), we get a palindrome (105374473501).

The spelling of 104141332100 in words is "one hundred four billion, one hundred forty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 169 260 325 338 650 676 845 1300 1690 3380 4225 8450 16900 6162209 12324418 24648836 30811045 61622090 80108717 123244180 154055225 160217434 308110450 320434868 400543585 616220900 801087170 1041413321 1602174340 2002717925 2082826642 4005435850 4165653284 5207066605 8010871700 10414133210 20828266420 26035333025 52070666050 104141332100