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20340440100 = 22325222600489
BaseRepresentation
bin10010111100011000…
…100111110000100100
31221111120010102021100
4102330120213300210
5313124123040400
613202210120100
71320024613431
oct227430476044
957446112240
1020340440100
118698714782
123b37b80030
131bc2094696
14dad5c4b88
157e0ab7100
hex4bc627c24

20340440100 has 54 divisors (see below), whose sum is σ = 63755982290. Its totient is φ = 5424117120.

The previous prime is 20340440083. The next prime is 20340440173. The reversal of 20340440100 is 104404302.

It can be written as a sum of positive squares in 3 ways, for example, as 398481444 + 19941958656 = 19962^2 + 141216^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11299345 + ... + 11301144.

Almost surely, 220340440100 is an apocalyptic number.

20340440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340440100 is an abundant number, since it is smaller than the sum of its proper divisors (43415542190).

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

20340440100 is a wasteful number, since it uses less digits than its factorization.

20340440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22600509 (or 22600499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20340440100 its reverse (104404302), we get a palindrome (20444844402).

The spelling of 20340440100 in words is "twenty billion, three hundred forty million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 22600489 45200978 67801467 90401956 113002445 135602934 203404401 226004890 271205868 339007335 406808802 452009780 565012225 678014670 813617604 1017022005 1130024450 1356029340 1695036675 2034044010 2260048900 3390073350 4068088020 5085110025 6780146700 10170220050 20340440100