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213211241440 = 2551332570259
BaseRepresentation
bin1100011010010001100…
…0010101101111100000
3202101100001120021201221
43012210120111233200
511443124034211230
6241540424504424
721255400435621
oct3064430255740
9671301507657
10213211241440
118247120745a
12353a401b114
131714b3b2ac2
14a468917a48
15582d20127a
hex31a4615be0

213211241440 has 24 divisors (see below), whose sum is σ = 503711558280. Its totient is φ = 85284496512.

The previous prime is 213211241437. The next prime is 213211241497. The reversal of 213211241440 is 44142112312.

It is a super-3 number, since 3×2132112414403 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 666284970 + ... + 666285289.

It is an arithmetic number, because the mean of its divisors is an integer number (20987981595).

Almost surely, 2213211241440 is an apocalyptic number.

213211241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213211241440 is an abundant number, since it is smaller than the sum of its proper divisors (290500316840).

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

213211241440 is a wasteful number, since it uses less digits than its factorization.

213211241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332570274 (or 1332570266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 213211241440 its reverse (44142112312), we get a palindrome (257353353752).

The spelling of 213211241440 in words is "two hundred thirteen billion, two hundred eleven million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1332570259 2665140518 5330281036 6662851295 10660562072 13325702590 21321124144 26651405180 42642248288 53302810360 106605620720 213211241440