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20441440100 = 22521131808977
BaseRepresentation
bin10011000010011001…
…111001111101100100
31221202121011202020002
4103002121321331210
5313331002040400
613220215000432
71322362242164
oct230231717544
957677152202
1020441440100
11873a729554
123b65969118
131c09c983b3
14dbcb965a4
157e98b7ed5
hex4c2679f64

20441440100 has 36 divisors (see below), whose sum is σ = 44750497764. Its totient is φ = 8104212480.

The previous prime is 20441440099. The next prime is 20441440109. The reversal of 20441440100 is 104414402.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2602632256 + 17838807844 = 51016^2 + 133562^2 .

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 (20441440109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893189 + ... + 915788.

Almost surely, 220441440100 is an apocalyptic number.

20441440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20441440100 is an abundant number, since it is smaller than the sum of its proper divisors (24309057664).

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

20441440100 is a wasteful number, since it uses less digits than its factorization.

20441440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809104 (or 1809097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 20441440100 its reverse (104414402), we get a palindrome (20545854502).

The spelling of 20441440100 in words is "twenty billion, four hundred forty-one million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 1808977 3617954 7235908 9044885 18089770 36179540 45224425 90448850 180897700 204414401 408828802 817657604 1022072005 2044144010 4088288020 5110360025 10220720050 20441440100