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320111010120 = 233511661366881
BaseRepresentation
bin1001010100010000001…
…10100110000101001000
31010121021002100012020210
410222020012212011020
520221041404310440
6403020145521120
732061435456036
oct4521006460510
91117232305223
10320111010120
11113838357920
12520586431a0
13242565035b5
14116ca083556
1584d8056a80
hex4a881a6148

320111010120 has 128 divisors (see below), whose sum is σ = 1049223818880. Its totient is φ = 77485056000.

The previous prime is 320111010103. The next prime is 320111010139. The reversal of 320111010120 is 21010111023.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320111010096 and 320111010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 689080 + ... + 1055960.

It is an arithmetic number, because the mean of its divisors is an integer number (8197061085).

Almost surely, 2320111010120 is an apocalyptic number.

320111010120 is a gapful number since it is divisible by the number (30) 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 320111010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524611909440).

320111010120 is an abundant number, since it is smaller than the sum of its proper divisors (729112808760).

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

320111010120 is a wasteful number, since it uses less digits than its factorization.

320111010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367567 (or 367563 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 320111010120 its reverse (21010111023), we get a palindrome (341121121143).

The spelling of 320111010120 in words is "three hundred twenty billion, one hundred eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 661 1320 1322 1983 2644 3305 3966 5288 6610 7271 7932 9915 13220 14542 15864 19830 21813 26440 29084 36355 39660 43626 58168 72710 79320 87252 109065 145420 174504 218130 290840 366881 436260 733762 872520 1100643 1467524 1834405 2201286 2935048 3668810 4035691 4402572 5503215 7337620 8071382 8805144 11006430 12107073 14675240 16142764 20178455 22012860 24214146 32285528 40356910 44025720 48428292 60535365 80713820 96856584 121070730 161427640 242141460 242508341 484282920 485016682 727525023 970033364 1212541705 1455050046 1940066728 2425083410 2667591751 2910100092 3637625115 4850166820 5335183502 5820200184 7275250230 8002775253 9700333640 10670367004 13337958755 14550500460 16005550506 21340734008 26675917510 29101000920 32011101012 40013876265 53351835020 64022202024 80027752530 106703670040 160055505060 320111010120