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244131310100 = 225217143606653
BaseRepresentation
bin1110001101011101011…
…1000010101000010100
3212100010221010112001002
43203113113002220110
512444440103410400
6304052525122432
723431541616446
oct3432727025024
9770127115032
10244131310100
119459883a707
123b3930b9418
131a03827a012
14bb5d224496
15653c9bced5
hex38d75c2a14

244131310100 has 36 divisors (see below), whose sum is σ = 560927590524. Its totient is φ = 91908257280.

The previous prime is 244131310091. The next prime is 244131310121. The reversal of 244131310100 is 1013131442.

It can be written as a sum of positive squares in 6 ways, for example, as 25917136144 + 218214173956 = 160988^2 + 467134^2 .

It is a super-2 number, since 2×2441313101002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71801627 + ... + 71805026.

It is an arithmetic number, because the mean of its divisors is an integer number (15581321959).

Almost surely, 2244131310100 is an apocalyptic number.

244131310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244131310100 is an abundant number, since it is smaller than the sum of its proper divisors (316796280424).

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

244131310100 is a wasteful number, since it uses less digits than its factorization.

244131310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143606684 (or 143606677 counting only the distinct ones).

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

Adding to 244131310100 its reverse (1013131442), we get a palindrome (245144441542).

The spelling of 244131310100 in words is "two hundred forty-four billion, one hundred thirty-one million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 143606653 287213306 574426612 718033265 1436066530 2441313101 2872133060 3590166325 4882626202 7180332650 9765252404 12206565505 14360665300 24413131010 48826262020 61032827525 122065655050 244131310100