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2023312323120 = 2435111530750069
BaseRepresentation
bin11101011100010110110…
…011111111001000110000
321011102112010002120022220
4131130112303333020300
5231122220423314440
64145255153001040
7266115364660464
oct35342663771060
97142463076286
102023312323120
1171009a071230
1228816b253180
13118a4a2473ca
146dd00a3c4a4
153796e9328d0
hex1d716cff230

2023312323120 has 160 divisors (see below), whose sum is σ = 6843058087680. Its totient is φ = 490458117120.

The previous prime is 2023312323089. The next prime is 2023312323121. The reversal of 2023312323120 is 213232133202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2023312323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40385446 + ... + 40435514.

It is an arithmetic number, because the mean of its divisors is an integer number (42769113048).

Almost surely, 22023312323120 is an apocalyptic number.

2023312323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023312323120 is an abundant number, since it is smaller than the sum of its proper divisors (4819745764560).

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

2023312323120 is a wasteful number, since it uses less digits than its factorization.

2023312323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65403 (or 65397 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2023312323120 its reverse (213232133202), we get a palindrome (2236544456322).

It can be divided in two parts, 2023312 and 323120, that added together give a palindrome (2346432).

The spelling of 2023312323120 in words is "two trillion, twenty-three billion, three hundred twelve million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 15307 30614 45921 50069 61228 76535 91842 100138 122456 150207 153070 168377 183684 200276 229605 244912 250345 300414 306140 336754 367368 400552 459210 500690 505131 550759 600828 612280 673508 734736 751035 801104 841885 918420 1001380 1010262 1101518 1201656 1224560 1347016 1502070 1652277 1683770 1836840 2002760 2020524 2203036 2403312 2525655 2694032 2753795 3004140 3304554 3367540 3673680 4005520 4041048 4406072 5051310 5507590 6008280 6609108 6735080 8082096 8261385 8812144 10102620 11015180 12016560 13218216 13470160 16522770 20205240 22030360 26436432 33045540 40410480 44060720 66091080 132182160 766406183 1532812366 2299218549 3065624732 3832030915 4598437098 6131249464 7664061830 8430468013 9196874196 11496092745 12262498928 15328123660 16860936026 18393748392 22992185490 25291404039 30656247320 33721872052 36787496784 42152340065 45984370980 50582808078 61312494640 67443744104 84304680130 91968741960 101165616156 126457020195 134887488208 168609360260 183937483920 202331232312 252914040390 337218720520 404662464624 505828080780 674437441040 1011656161560 2023312323120