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1320121301320 = 235412577334273
BaseRepresentation
bin10011001101011101010…
…111000111100101001000
311200012110112010110121101
4103031131113013211020
5133112102023120240
62450242204551144
7164242556626423
oct23153527074510
94605415113541
101320121301320
11469951071738
12193a21b524b4
13976439633b3
1447c73a089ba
152451565239a
hex1335d5c7948

1320121301320 has 128 divisors (see below), whose sum is σ = 3059441007840. Its totient is φ = 512344719360.

The previous prime is 1320121301273. The next prime is 1320121301333. The reversal of 1320121301320 is 231031210231.

It can be written as a sum of positive squares in 16 ways, for example, as 384293367396 + 935827933924 = 619914^2 + 967382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308942704 + ... + 308946976.

Almost surely, 21320121301320 is an apocalyptic number.

1320121301320 is a gapful number since it is divisible by the number (10) 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 1320121301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529720503920).

1320121301320 is an abundant number, since it is smaller than the sum of its proper divisors (1739319706520).

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

1320121301320 is a wasteful number, since it uses less digits than its factorization.

1320121301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5315 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1320121301320 its reverse (231031210231), we get a palindrome (1551152511551).

The spelling of 1320121301320 in words is "one trillion, three hundred twenty billion, one hundred twenty-one million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 257 328 410 514 733 820 1028 1285 1466 1640 2056 2570 2932 3665 4273 5140 5864 7330 8546 10280 10537 14660 17092 21074 21365 29320 30053 34184 42148 42730 52685 60106 84296 85460 105370 120212 150265 170920 175193 188381 210740 240424 300530 350386 376762 421480 601060 700772 753524 875965 941905 1098161 1202120 1401544 1507048 1751930 1883810 2196322 3132109 3503860 3767620 4392644 5490805 6264218 7007720 7535240 7723621 8785288 10981610 12528436 15447242 15660545 21963220 25056872 30894484 31321090 38618105 43926440 45024601 61788968 62642180 77236210 90049202 125284360 128416469 154472420 180098404 225123005 256832938 308944840 360196808 450246010 513665876 642082345 804952013 900492020 1027331752 1284164690 1609904026 1800984040 2568329380 3219808052 4024760065 5136658760 6439616104 8049520130 16099040260 32198080520 33003032533 66006065066 132012130132 165015162665 264024260264 330030325330 660060650660 1320121301320