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5122121341350 = 2352134621568433
BaseRepresentation
bin100101010001001011000…
…1110010001100110100110
3200010200002102222001011210
41022202112032101212212
51132410101030410400
614521023044412250
71036026641015166
oct112422616214646
920120072861153
105122121341350
1116a5308a66852
126a88500a7086
132b20248cc2b0
14139caa7325a6
158d388a57950
hex4a8963919a6

5122121341350 has 96 divisors (see below), whose sum is σ = 13682988545184. Its totient is φ = 1260554803200.

The previous prime is 5122121341327. The next prime is 5122121341357. The reversal of 5122121341350 is 531431212215.

It is a happy number.

It is a super-3 number, since 3×51221213413503 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122121341357) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8726734 + ... + 9295166.

It is an arithmetic number, because the mean of its divisors is an integer number (142531130679).

Almost surely, 25122121341350 is an apocalyptic number.

5122121341350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5122121341350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841494272592).

5122121341350 is an abundant number, since it is smaller than the sum of its proper divisors (8560867203834).

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

5122121341350 is a wasteful number, since it uses less digits than its factorization.

5122121341350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573082 (or 573077 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 5122121341350 its reverse (531431212215), we get a palindrome (5653552553565).

The spelling of 5122121341350 in words is "five trillion, one hundred twenty-two billion, one hundred twenty-one million, three hundred forty-one thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 4621 9242 13863 23105 27726 46210 60073 69315 115525 120146 138630 180219 231050 300365 346575 360438 568433 600730 693150 901095 1136866 1501825 1705299 1802190 2842165 3003650 3410598 4505475 5684330 7389629 8526495 9010950 14210825 14779258 17052990 22168887 28421650 36948145 42632475 44337774 73896290 85264950 110844435 184740725 221688870 369481450 554222175 1108444350 2626728893 5253457786 7880186679 13133644465 15760373358 26267288930 34147475609 39400933395 65668222325 68294951218 78801866790 102442426827 131336444650 170737378045 197004666975 204884853654 341474756090 394009333950 512212134135 853686890225 1024424268270 1707373780450 2561060670675 5122121341350