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120021321131300 = 225215131382130931
BaseRepresentation
bin11011010010100010100100…
…001101100010010100100100
3120201221221000020020201122002
4123102202210031202110210
5111212412131202200200
61103133011142424432
734165153136621621
oct3322424415422444
9521857006221562
10120021321131300
1135273835913786
1211564b29732118
1351c7c6772a8b4
14218d0c49b7348
15dd206b387bd5
hex6d28a4362524

120021321131300 has 144 divisors (see below), whose sum is σ = 263337548901504. Its totient is φ = 47478787200000.

The previous prime is 120021321131287. The next prime is 120021321131339. The reversal of 120021321131300 is 3131123120021.

It is a happy number.

It is a super-2 number, since 2×1200213211313002 (a number of 29 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 3880276835 + ... + 3880307765.

Almost surely, 2120021321131300 is an apocalyptic number.

120021321131300 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 120021321131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131668774450752).

120021321131300 is an abundant number, since it is smaller than the sum of its proper divisors (143316227770204).

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

120021321131300 is a wasteful number, since it uses less digits than its factorization.

120021321131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32230 (or 32223 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 120021321131300 its reverse (3131123120021), we get a palindrome (123152444251321).

The spelling of 120021321131300 in words is "one hundred twenty trillion, twenty-one billion, three hundred twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 302 313 604 626 755 821 1252 1510 1565 1642 3020 3130 3284 3775 4105 6260 7550 7825 8210 15100 15650 16420 20525 30931 31300 41050 47263 61862 82100 94526 123724 123971 154655 189052 236315 247942 256973 309310 472630 495884 513946 618620 619855 773275 945260 1027892 1181575 1239710 1284865 1546550 2363150 2479420 2569730 3093100 3099275 4670581 4726300 5139460 6198550 6424325 9341162 9681403 12397100 12848650 18682324 19362806 23352905 25394351 25697300 38725612 38802923 46705810 48407015 50788702 77605846 93411620 96814030 101577404 116764525 126971755 155211692 193628060 194014615 233529050 242035075 253943510 388029230 467058100 484070150 507887020 634858775 776058460 968140300 970073075 1269717550 1461891853 1940146150 2539435100 2923783706 3834547001 3880292300 5847567412 7309459265 7669094002 7948431863 14618918530 15338188004 15896863726 19172735005 29237837060 31793727452 36547296325 38345470010 39742159315 73094592650 76690940020 79484318630 95863675025 146189185300 158968637260 191727350050 198710796575 383454700100 397421593150 794843186300 1200213211313 2400426422626 4800852845252 6001066056565 12002132113130 24004264226260 30005330282825 60010660565650 120021321131300