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3001014044300 = 2252171801980179
BaseRepresentation
bin101011101010111010011…
…000000100011010001100
3101121220010211101001201102
4223222322120010122030
5343132034043404200
610214351414002232
7426546632330336
oct53527230043214
911556124331642
103001014044300
11a577a5212218
12405749646378
13189cc094670c
14a536d85c456
15530e379b6d5
hex2baba60468c

3001014044300 has 72 divisors (see below), whose sum is σ = 6899106710160. Its totient is φ = 1129165056000.

The previous prime is 3001014044297. The next prime is 3001014044309. The reversal of 3001014044300 is 34404101003.

It is a happy number.

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 (3001014044309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2571611 + ... + 3551789.

It is an arithmetic number, because the mean of its divisors is an integer number (95820926530).

Almost surely, 23001014044300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001014044300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449553355080).

3001014044300 is an abundant number, since it is smaller than the sum of its proper divisors (3898092665860).

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

3001014044300 is a wasteful number, since it uses less digits than its factorization.

3001014044300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982011 (or 982004 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3001014044300 its reverse (34404101003), we get a palindrome (3035418145303).

The spelling of 3001014044300 in words is "three trillion, one billion, fourteen million, forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1801 3602 7204 9005 18010 30617 36020 45025 61234 90050 122468 153085 180100 306170 612340 765425 980179 1530850 1960358 3061700 3920716 4900895 9801790 16663043 19603580 24504475 33326086 49008950 66652172 83315215 98017900 166630430 333260860 416576075 833152150 1666304300 1765302379 3530604758 7061209516 8826511895 17653023790 30010140443 35306047580 44132559475 60020280886 88265118950 120040561772 150050702215 176530237900 300101404430 600202808860 750253511075 1500507022150 3001014044300