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5300411301200 = 2452531422117581
BaseRepresentation
bin100110100100001100100…
…1000011111110101010000
3200202201021202222102100002
41031020121020133311100
51143320220243114300
615134550401145132
71054641063455411
oct115103110376520
920681252872302
105300411301200
111763989aa8504
1271730902b1a8
132c5a99190362
14144781391808
1592d210775d5
hex4d21921fd50

5300411301200 has 120 divisors (see below), whose sum is σ = 12976157180376. Its totient is φ = 2079896832000.

The previous prime is 5300411301161. The next prime is 5300411301221. The reversal of 5300411301200 is 21031140035.

It can be written as a sum of positive squares in 12 ways, for example, as 1018210156096 + 4282201145104 = 1009064^2 + 2069348^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 301476410 + ... + 301493990.

Almost surely, 25300411301200 is an apocalyptic number.

5300411301200 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 5300411301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488078590188).

5300411301200 is an abundant number, since it is smaller than the sum of its proper divisors (7675745879176).

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

5300411301200 is a wasteful number, since it uses less digits than its factorization.

5300411301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31873 (or 31862 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 5300411301200 its reverse (21031140035), we get a palindrome (5321442441235).

The spelling of 5300411301200 in words is "five trillion, three hundred billion, four hundred eleven million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 530 848 1060 1325 2120 2650 4240 5300 10600 14221 17581 21200 28442 35162 56884 70324 71105 87905 113768 140648 142210 175810 227536 281296 284420 351620 355525 439525 568840 703240 711050 753713 879050 931793 1137680 1406480 1422100 1507426 1758100 1863586 2844200 3014852 3516200 3727172 3768565 4658965 5688400 6029704 7032400 7454344 7537130 9317930 12059408 14908688 15074260 18635860 18842825 23294825 30148520 37271720 37685650 46589650 60297040 74543440 75371300 93179300 150742600 186358600 250019401 301485200 372717200 500038802 1000077604 1250097005 2000155208 2500194010 4000310416 5000388020 6250485025 10000776040 12500970050 13251028253 20001552080 25001940100 26502056506 50003880200 53004113012 66255141265 100007760400 106008226024 132510282530 212016452048 265020565060 331275706325 530041130120 662551412650 1060082260240 1325102825300 2650205650600 5300411301200