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21104340100 = 2252557378893
BaseRepresentation
bin10011101001111010…
…101010110010000100
32000110210112120001221
4103221322222302010
5321210202340400
613410055130124
71344661634224
oct235172526204
960423476057
1021104340100
118a4a939098
12410b973944
131cb4417c0c
141042c34084
15837bacc1a
hex4e9eaac84

21104340100 has 36 divisors (see below), whose sum is σ = 45878758884. Its totient is φ = 8426558080.

The previous prime is 21104340071. The next prime is 21104340119. The reversal of 21104340100 is 104340112.

It can be written as a sum of positive squares in 6 ways, for example, as 3686675524 + 17417664576 = 60718^2 + 131976^2 .

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, 133747 + ... + 245146.

It is an arithmetic number, because the mean of its divisors is an integer number (1274409969).

Almost surely, 221104340100 is an apocalyptic number.

21104340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21104340100 is an abundant number, since it is smaller than the sum of its proper divisors (24774418784).

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

21104340100 is a wasteful number, since it uses less digits than its factorization.

21104340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379464 (or 379457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21104340100 its reverse (104340112), we get a palindrome (21208680212).

The spelling of 21104340100 in words is "twenty-one billion, one hundred four million, three hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 557 1114 2228 2785 5570 11140 13925 27850 55700 378893 757786 1515572 1894465 3788930 7577860 9472325 18944650 37889300 211043401 422086802 844173604 1055217005 2110434010 4220868020 5276085025 10552170050 21104340100