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2133144211224 = 23313223127401449
BaseRepresentation
bin11111000010101001010…
…011011000111100011000
321112221000111011120112110
4133002221103120330120
5234422134404224344
64311541455312320
7310054205425005
oct37025123307430
97487014146473
102133144211224
11752730329394
122a550181b6a0
13126201973500
147535d7808ac
153a74bdbe3b9
hex1f0a94d8f18

2133144211224 has 384 divisors, whose sum is σ = 6101858304000. Its totient is φ = 619934515200.

The previous prime is 2133144211223. The next prime is 2133144211241. The reversal of 2133144211224 is 4221124413312.

It is a happy number.

It is a super-2 number, since 2×21331442112242 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133144211191 and 2133144211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133144211223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4750877752 + ... + 4750878200.

It is an arithmetic number, because the mean of its divisors is an integer number (15890256000).

Almost surely, 22133144211224 is an apocalyptic number.

2133144211224 is a gapful number since it is divisible by the number (24) 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 2133144211224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050929152000).

2133144211224 is an abundant number, since it is smaller than the sum of its proper divisors (3968714092776).

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

2133144211224 is a wasteful number, since it uses less digits than its factorization.

2133144211224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 2133144211224 its reverse (4221124413312), we get a palindrome (6354268624536).

The spelling of 2133144211224 in words is "two trillion, one hundred thirty-three billion, one hundred forty-four million, two hundred eleven thousand, two hundred twenty-four".