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1213433000320 = 2759724178087
BaseRepresentation
bin10001101010000110001…
…111100011000110000000
311022000002020021020012211
4101222012033203012000
5124340102322002240
62325235440231504
7153445000215202
oct21520617430600
94260066236184
101213433000320
11428683327052
1217720830b594
138a5705b37c8
1442a325a8772
152186e16dbea
hex11a863e3180

1213433000320 has 128 divisors (see below), whose sum is σ = 2932344192960. Its totient is φ = 480111230976.

The previous prime is 1213433000303. The next prime is 1213433000321. The reversal of 1213433000320 is 230003343121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1213433000291 and 1213433000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213433000321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150043317 + ... + 150051403.

Almost surely, 21213433000320 is an apocalyptic number.

1213433000320 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 1213433000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466172096480).

1213433000320 is an abundant number, since it is smaller than the sum of its proper divisors (1718911192640).

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

1213433000320 is an equidigital number, since it uses as much as digits as its factorization.

1213433000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10620 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1213433000320 its reverse (230003343121), we get a palindrome (1443436343441).

The spelling of 1213433000320 in words is "one trillion, two hundred thirteen billion, four hundred thirty-three million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 2417 3104 3880 4834 6208 7760 8087 9668 12085 12416 15520 16174 19336 24170 31040 32348 38672 40435 48340 62080 64696 77344 80870 96680 129392 154688 161740 193360 234449 258784 309376 323480 386720 468898 517568 646960 773440 784439 937796 1035136 1172245 1293920 1546880 1568878 1875592 2344490 2587840 3137756 3751184 3922195 4688980 5175680 6275512 7502368 7844390 9377960 12551024 15004736 15688780 18755920 19546279 25102048 30009472 31377560 37511840 39092558 50204096 62755120 75023680 78185116 97731395 100408192 125510240 150047360 156370232 195462790 251020480 312740464 390925580 502040960 625480928 781851160 1250961856 1563702320 1895989063 2501923712 3127404640 3791978126 6254809280 7583956252 9479945315 12509618560 15167912504 18959890630 30335825008 37919781260 60671650016 75839562520 121343300032 151679125040 242686600064 303358250080 606716500160 1213433000320