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312102303120 = 243351181122347
BaseRepresentation
bin1001000101010101011…
…11110011010110010000
31002211120221112201121000
410202222233303112100
520103141142144440
6355213335302000
731356120543036
oct4425257632620
91084527481530
10312102303120
111103a8682803
12505a251a900
132357b23230a
141116a590556
1581b9ddb730
hex48aabf3590

312102303120 has 160 divisors (see below), whose sum is σ = 1075938099840. Its totient is φ = 83156129280.

The previous prime is 312102303089. The next prime is 312102303157. The reversal of 312102303120 is 21303201213.

312102303120 is a `hidden beast` number, since 3 + 121 + 0 + 230 + 312 + 0 = 666.

It is a super-2 number, since 2×3121023031202 (a number of 24 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 = 312102303093 and 312102303102.

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 31 ways as a sum of consecutive naturals, for example, 2489787 + ... + 2612133.

It is an arithmetic number, because the mean of its divisors is an integer number (6724613124).

Almost surely, 2312102303120 is an apocalyptic number.

312102303120 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 312102303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537969049920).

312102303120 is an abundant number, since it is smaller than the sum of its proper divisors (763835796720).

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

312102303120 is a wasteful number, since it uses less digits than its factorization.

312102303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123550 (or 123538 counting only the distinct ones).

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

Adding to 312102303120 its reverse (21303201213), we get a palindrome (333405504333).

The spelling of 312102303120 in words is "three hundred twelve billion, one hundred two million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1181 2160 2362 3543 4724 5905 7086 9448 10629 11810 14172 17715 18896 21258 23620 28344 31887 35430 42516 47240 53145 56688 63774 70860 85032 94480 106290 122347 127548 141720 159435 170064 212580 244694 255096 283440 318870 367041 425160 489388 510192 611735 637740 734082 850320 978776 1101123 1223470 1275480 1468164 1835205 1957552 2202246 2446940 2550960 2936328 3303369 3670410 4404492 4893880 5505615 5872656 6606738 7340820 8808984 9787760 11011230 13213476 14681640 16516845 17617968 22022460 26426952 29363280 33033690 44044920 52853904 66067380 88089840 132134760 144491807 264269520 288983614 433475421 577967228 722459035 866950842 1155934456 1300426263 1444918070 1733901684 2167377105 2311868912 2600852526 2889836140 3467803368 3901278789 4334754210 5201705052 5779672280 6502131315 6935606736 7802557578 8669508420 10403410104 11559344560 13004262630 15605115156 17339016840 19506393945 20806820208 26008525260 31210230312 34678033680 39012787890 52017050520 62420460624 78025575780 104034101040 156051151560 312102303120