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52320122000 = 24537324909
BaseRepresentation
bin110000101110100001…
…011011010010010000
312000001021112120200022
4300232201123102100
51324122422401000
640011401443012
73531353461556
oct605641332220
9160037476608
1052320122000
1120209388053
12a181aa0468
134c1a63b993
142764919bd6
1515633dd585
hexc2e85b490

52320122000 has 120 divisors (see below), whose sum is σ = 128292938280. Its totient is φ = 20637158400.

The previous prime is 52320121921. The next prime is 52320122003. The reversal of 52320122000 is 22102325.

It can be written as a sum of positive squares in 12 ways, for example, as 15738204304 + 36581917696 = 125452^2 + 191264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52320122000.

It is not an unprimeable number, because it can be changed into a prime (52320122003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10655546 + ... + 10660454.

It is an arithmetic number, because the mean of its divisors is an integer number (1069107819).

Almost surely, 252320122000 is an apocalyptic number.

52320122000 is a gapful number since it is divisible by the number (50) 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 52320122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64146469140).

52320122000 is an abundant number, since it is smaller than the sum of its proper divisors (75972816280).

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

52320122000 is an equidigital number, since it uses as much as digits as its factorization.

52320122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5078 (or 4989 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 52320122000 its reverse (22102325), we get a palindrome (52342224325).

The spelling of 52320122000 in words is "fifty-two billion, three hundred twenty million, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 146 200 250 292 365 400 500 584 730 1000 1168 1460 1825 2000 2920 3650 4909 5329 5840 7300 9125 9818 10658 14600 18250 19636 21316 24545 26645 29200 36500 39272 42632 49090 53290 73000 78544 85264 98180 106580 122725 133225 146000 196360 213160 245450 266450 358357 392720 426320 490900 532900 613625 666125 716714 981800 1065800 1227250 1332250 1433428 1791785 1963600 2131600 2454500 2664500 2866856 3583570 4909000 5329000 5733712 7167140 8958925 9818000 10658000 14334280 17917850 26160061 28668560 35835700 44794625 52320122 71671400 89589250 104640244 130800305 143342800 179178500 209280488 261600610 358357000 418560976 523201220 654001525 716714000 1046402440 1308003050 2092804880 2616006100 3270007625 5232012200 6540015250 10464024400 13080030500 26160061000 52320122000