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320130120322120 = 235172962191261031
BaseRepresentation
bin100100011001010000001101…
…0000110101000110001001000
31112222111010210111202100001111
41020302200122012220301020
5313430002441300301440
63052505425204300104
7124300431546141463
oct11062403206506110
91488433714670044
10320130120322120
1193004470168459
122baa34416a1634
13109821aa49aaa4
14590a5481202da
1527024bbdc44ea
hex123281a1a8c48

320130120322120 has 128 divisors (see below), whose sum is σ = 788977364198400. Its totient is φ = 116361410457600.

The previous prime is 320130120322057. The next prime is 320130120322121. The reversal of 320130120322120 is 21223021031023.

It is a super-2 number, since 2×3201301203221202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320130120322091 and 320130120322100.

It is not an unprimeable number, because it can be changed into a prime (320130120322121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226276005 + ... + 1226537035.

It is an arithmetic number, because the mean of its divisors is an integer number (6163885657800).

Almost surely, 2320130120322120 is an apocalyptic number.

It is an amenable number.

320130120322120 is an abundant number, since it is smaller than the sum of its proper divisors (468847243876280).

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

320130120322120 is a wasteful number, since it uses less digits than its factorization.

320130120322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323279 (or 323275 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 320130120322120 its reverse (21223021031023), we get a palindrome (341353141353143).

The spelling of 320130120322120 in words is "three hundred twenty trillion, one hundred thirty billion, one hundred twenty million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4930 9860 19720 62191 124382 248764 261031 310955 497528 522062 621910 1044124 1057247 1243820 1305155 1803539 2088248 2114494 2487640 2610310 3607078 4228988 4437527 5220620 5286235 7214156 7569899 8457976 8875054 9017695 10441240 10572470 14428312 15139798 17750108 18035390 21144940 22187635 30279596 30660163 35500216 36070780 37849495 42289880 44375270 60559192 61320326 72141560 75698990 88750540 122640652 128688283 151397980 153300815 177501080 245281304 257376566 302795960 306601630 514753132 613203260 643441415 1029506264 1226406520 1286882830 2573765660 5147531320 16233778921 32467557842 64935115684 81168894605 129870231368 162337789210 275974241657 324675578420 470779588709 551948483314 649351156840 941559177418 1103896966628 1379871208285 1883118354836 2207793933256 2353897943545 2759742416570 3766236709672 4707795887090 5519484833140 8003253008053 9415591774180 11038969666280 16006506016106 18831183548360 32013012032212 40016265040265 64026024064424 80032530080530 160065060161060 320130120322120