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2210131301144 = 2313103317650861
BaseRepresentation
bin100000001010010110000…
…101110101001100011000
321211021201211221221220012
4200022112011311030120
5242202322103114034
64411153104021052
7315451054044134
oct40122605651430
97737654857805
102210131301144
11782347557538
122b8408601788
131305508237a0
1478d843123c4
153c755ae8cce
hex20296175318

2210131301144 has 64 divisors (see below), whose sum is σ = 4520314693440. Its totient is φ = 1006968936960.

The previous prime is 2210131301143. The next prime is 2210131301201. The reversal of 2210131301144 is 4411031310122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210131301143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3070274 + ... + 3721134.

It is an arithmetic number, because the mean of its divisors is an integer number (70629917085).

Almost surely, 22210131301144 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 2210131301144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260157346720).

2210131301144 is an abundant number, since it is smaller than the sum of its proper divisors (2310183392296).

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

2210131301144 is a wasteful number, since it uses less digits than its factorization.

2210131301144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651300 (or 651296 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 2210131301144 its reverse (4411031310122), we get a palindrome (6621162611266).

The spelling of 2210131301144 in words is "two trillion, two hundred ten billion, one hundred thirty-one million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 103 104 206 317 412 634 824 1268 1339 2536 2678 4121 5356 8242 10712 16484 32651 32968 65302 130604 261208 424463 650861 848926 1301722 1697852 2603444 3395704 5206888 8461193 16922386 33844772 67038683 67689544 134077366 206322937 268154732 412645874 536309464 825291748 871502879 1650583496 1743005758 2682198181 3486011516 5364396362 6972023032 10728792724 21251262511 21457585448 42502525022 85005050044 170010100088 276266412643 552532825286 1105065650572 2210131301144