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13322301301300 = 22521973303731627
BaseRepresentation
bin1100000111011101011100…
…0010010110001000110100
31202011121012002021001011211
43001313113002112020310
53221233033113120200
644200103012011204
72543335021432135
oct301672702261064
952147162231154
1013322301301300
114276a57855812
1215b1b4b900b04
13758397ba11a4
14340b34d39c8c
15181824b3daba
hexc1dd7096234

13322301301300 has 144 divisors (see below), whose sum is σ = 30858936082240. Its totient is φ = 4977497226240.

The previous prime is 13322301301273. The next prime is 13322301301313. The reversal of 13322301301300 is 310310322331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421216087 + ... + 421247713.

Almost surely, 213322301301300 is an apocalyptic number.

13322301301300 is a gapful number since it is divisible by the number (10) 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 13322301301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429468041120).

13322301301300 is an abundant number, since it is smaller than the sum of its proper divisors (17536634780940).

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

13322301301300 is a wasteful number, since it uses less digits than its factorization.

13322301301300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34770 (or 34763 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 13322301301300 its reverse (310310322331), we get a palindrome (13632611623631).

The spelling of 13322301301300 in words is "thirteen trillion, three hundred twenty-two billion, three hundred one million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 146 190 292 365 380 475 730 950 1387 1460 1825 1900 2774 3037 3650 5548 6074 6935 7300 12148 13870 15185 27740 30370 31627 34675 57703 60740 63254 69350 75925 115406 126508 138700 151850 158135 221701 230812 288515 303700 316270 443402 577030 600913 632540 790675 886804 1108505 1154060 1201826 1442575 1581350 2217010 2308771 2403652 2885150 3004565 3162700 4212319 4434020 4617542 5542525 5770300 6009130 8424638 9235084 11085050 11543855 12018260 15022825 16849276 21061595 22170100 23087710 30045650 42123190 43866649 46175420 57719275 60091300 84246380 87733298 96051199 105307975 115438550 175466596 192102398 210615950 219333245 230877100 384204796 421231900 438666490 480255995 877332980 960511990 1096666225 1824972781 1921023980 2193332450 2401279975 3649945562 4386664900 4802559950 7011737527 7299891124 9124863905 9605119900 14023475054 18249727810 28046950108 35058687635 36499455620 45624319525 70117375270 91248639050 133223013013 140234750540 175293438175 182497278100 266446026026 350586876350 532892052052 666115065065 701173752700 1332230130130 2664460260260 3330575325325 6661150650650 13322301301300