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320112113120 = 2557343163589
BaseRepresentation
bin1001010100010000010…
…10110011010111100000
31010121021011102020021122
410222020022303113200
520221042200104440
6403020225311412
732061451031552
oct4521012632740
91117234366248
10320112113120
11113838a40598
1252058a95568
13242567cb667
14116ca28d4d2
1584d81c37b5
hex4a882b35e0

320112113120 has 96 divisors (see below), whose sum is σ = 768415455360. Its totient is φ = 125995806720.

The previous prime is 320112113077. The next prime is 320112113137. The reversal of 320112113120 is 21311211023.

It is a super-2 number, since 2×3201121131202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5002286 + ... + 5065874.

It is an arithmetic number, because the mean of its divisors is an integer number (8004327660).

Almost surely, 2320112113120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320112113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384207727680).

320112113120 is an abundant number, since it is smaller than the sum of its proper divisors (448303342240).

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

320112113120 is a wasteful number, since it uses less digits than its factorization.

320112113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64108 (or 64100 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 320112113120 its reverse (21311211023), we get a palindrome (341423324143).

The spelling of 320112113120 in words is "three hundred twenty billion, one hundred twelve million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 431 584 730 862 1168 1460 1724 2155 2336 2920 3448 4310 5840 6896 8620 11680 13792 17240 31463 34480 62926 63589 68960 125852 127178 157315 251704 254356 314630 317945 503408 508712 629260 635890 1006816 1017424 1258520 1271780 2034848 2517040 2543560 4641997 5034080 5087120 9283994 10174240 18567988 23209985 27406859 37135976 46419970 54813718 74271952 92839940 109627436 137034295 148543904 185679880 219254872 274068590 371359760 438509744 548137180 742719520 877019488 1096274360 2000700707 2192548720 4001401414 4385097440 8002802828 10003503535 16005605656 20007007070 32011211312 40014014140 64022422624 80028028280 160056056560 320112113120