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213051110144 = 283799122697
BaseRepresentation
bin1100011001101011010…
…1011111001100000000
3202100220220020202220012
43012122311133030000
511442312041011034
6241512504404052
721251414361545
oct3063265371400
9670826222805
10213051110144
1182399885444
123535a476628
1317124177662
14a451552bcc
15581e11ecce
hex319ad5f300

213051110144 has 72 divisors (see below), whose sum is σ = 437223765888. Its totient is φ = 103537336320.

The previous prime is 213051110141. The next prime is 213051110147. The reversal of 213051110144 is 441011150312.

It is an interprime number because it is at equal distance from previous prime (213051110141) and next prime (213051110147).

It is not an unprimeable number, because it can be changed into a prime (213051110141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9375404 + ... + 9398100.

It is an arithmetic number, because the mean of its divisors is an integer number (6072552304).

Almost surely, 2213051110144 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 213051110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218611882944).

213051110144 is an abundant number, since it is smaller than the sum of its proper divisors (224172655744).

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

213051110144 is an equidigital number, since it uses as much as digits as its factorization.

213051110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23741 (or 23727 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 213051110144 its reverse (441011150312), we get a palindrome (654062260456).

The spelling of 213051110144 in words is "two hundred thirteen billion, fifty-one million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 991 1184 1982 2368 3964 4736 7928 9472 15856 22697 31712 36667 45394 63424 73334 90788 126848 146668 181576 253696 293336 363152 586672 726304 839789 1173344 1452608 1679578 2346688 2905216 3359156 4693376 5810432 6718312 9386752 13436624 22492727 26873248 44985454 53746496 89970908 107492992 179941816 214985984 359883632 719767264 832230899 1439534528 1664461798 2879069056 3328923596 5758138112 6657847192 13315694384 26631388768 53262777536 106525555072 213051110144