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20240244100 = 22523156311597
BaseRepresentation
bin10010110110011010…
…011001110110000100
31221020120120221012101
4102312122121312010
5312423000302400
613144230401444
71314400144006
oct226632316604
957216527171
1020240244100
1186470a9a6a
123b0a500284
131ba73b28cb
14da0182376
157d6dc456a
hex4b6699d84

20240244100 has 72 divisors (see below), whose sum is σ = 45422592768. Its totient is φ = 7820342400.

The previous prime is 20240244091. The next prime is 20240244103. The reversal of 20240244100 is 144204202.

It is not an unprimeable number, because it can be changed into a prime (20240244103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1739502 + ... + 1751098.

It is an arithmetic number, because the mean of its divisors is an integer number (630869344).

Almost surely, 220240244100 is an apocalyptic number.

20240244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20240244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22711296384).

20240244100 is an abundant number, since it is smaller than the sum of its proper divisors (25182348668).

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

20240244100 is a wasteful number, since it uses less digits than its factorization.

20240244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205 (or 12198 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 20240244100 its reverse (144204202), we get a palindrome (20384448302).

The spelling of 20240244100 in words is "twenty billion, two hundred forty million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 563 620 775 1126 1550 2252 2815 3100 5630 11260 11597 14075 17453 23194 28150 34906 46388 56300 57985 69812 87265 115970 174530 231940 289925 349060 359507 436325 579850 719014 872650 1159700 1438028 1745300 1797535 3595070 6529111 7190140 8987675 13058222 17975350 26116444 32645555 35950700 65291110 130582220 163227775 202402441 326455550 404804882 652911100 809609764 1012012205 2024024410 4048048820 5060061025 10120122050 20240244100