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12030210310320 = 2432583919914929
BaseRepresentation
bin1010111100010000000001…
…1010011000000010110000
31120121002002001002212200200
42233010000122120002300
53034100332314412240
641330334033515200
72351103553266666
oct257040032300260
946532061085620
1012030210310320
113918a90103114
121423651112b00
136935a050bb57
142d839dd30c36
1515ce0023d930
hexaf1006980b0

12030210310320 has 120 divisors (see below), whose sum is σ = 40449612621600. Its totient is φ = 3204232255488.

The previous prime is 12030210310309. The next prime is 12030210310337. The reversal of 12030210310320 is 2301301203021.

12030210310320 is a `hidden beast` number, since 1 + 2 + 0 + 30 + 2 + 1 + 0 + 310 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×120302103103202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12030210310293 and 12030210310302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9353385 + ... + 10561544.

It is an arithmetic number, because the mean of its divisors is an integer number (337080105180).

Almost surely, 212030210310320 is an apocalyptic number.

12030210310320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12030210310320 is an abundant number, since it is smaller than the sum of its proper divisors (28419402311280).

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

12030210310320 is a wasteful number, since it uses less digits than its factorization.

12030210310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19915787 (or 19915778 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12030210310320 its reverse (2301301203021), we get a palindrome (14331511513341).

The spelling of 12030210310320 in words is "twelve trillion, thirty billion, two hundred ten million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 839 1678 2517 3356 4195 5034 6712 7551 8390 10068 12585 13424 15102 16780 20136 25170 30204 33560 37755 40272 50340 60408 67120 75510 100680 120816 151020 201360 302040 604080 19914929 39829858 59744787 79659716 99574645 119489574 159319432 179234361 199149290 238979148 298723935 318638864 358468722 398298580 477958296 597447870 716937444 796597160 896171805 955916592 1194895740 1433874888 1593194320 1792343610 2389791480 2867749776 3584687220 4779582960 7169374440 14338748880 16708625431 33417250862 50125876293 66834501724 83543127155 100251752586 133669003448 150377628879 167086254310 200503505172 250629381465 267338006896 300755257758 334172508620 401007010344 501258762930 601510515516 668345017240 751888144395 802014020688 1002517525860 1203021031032 1336690034480 1503776288790 2005035051720 2406042062064 3007552577580 4010070103440 6015105155160 12030210310320