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21310244201312 = 251129901555871
BaseRepresentation
bin1001101100001101011011…
…00010010010001101100000
32210110020110120002022020022
410312012231202102031200
510243121340003420222
6113153442510333012
74326420500666363
oct466065542221540
983406416068208
1021310244201312
116876695327300
1224820997ba168
13bb771685a851
145395c81760da
1526e4dd305042
hex1361ad892360

21310244201312 has 72 divisors (see below), whose sum is σ = 46120065034176. Its totient is φ = 9685478880000.

The previous prime is 21310244201243. The next prime is 21310244201327.

It is a happy number.

21310244201312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38058737 + ... + 38614607.

It is an arithmetic number, because the mean of its divisors is an integer number (640556458808).

Almost surely, 221310244201312 is an apocalyptic number.

21310244201312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21310244201312 is an abundant number, since it is smaller than the sum of its proper divisors (24809820832864).

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

21310244201312 is a wasteful number, since it uses less digits than its factorization.

21310244201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565804 (or 565785 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 2131024 and 4201312, that added together give a palindrome (6332336).

The spelling of 21310244201312 in words is "twenty-one trillion, three hundred ten billion, two hundred forty-four million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 9901 19802 39604 79208 108911 158416 217822 316832 435644 555871 871288 1111742 1198021 1742576 2223484 2396042 3485152 4446968 4792084 6114581 8893936 9584168 12229162 17787872 19168336 24458324 38336672 48916648 67260391 97833296 134520782 195666592 269041564 538083128 1076166256 2152332512 5503678771 11007357542 22014715084 44029430168 60540466481 88058860336 121080932962 176117720672 242161865924 484323731848 665945131291 968647463696 1331890262582 1937294927392 2663780525164 5327561050328 10655122100656 21310244201312