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120223013320 = 23517318368713
BaseRepresentation
bin110111111110111011…
…0011001100111001000
3102111022112210212021001
41233331312121213020
53432204042411240
6131121340224344
711454144516004
oct1577566314710
9374275725231
10120223013320
1146a93836353
121b37253b0b4
13b44c46b507
145b66bd9704
1531d985889a
hex1bfdd999c8

120223013320 has 128 divisors (see below), whose sum is σ = 299219235840. Its totient is φ = 43272069120.

The previous prime is 120223013299. The next prime is 120223013327. The reversal of 120223013320 is 23310322021.

It is not an unprimeable number, because it can be changed into a prime (120223013327) 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, 1715284 + ... + 1783996.

It is an arithmetic number, because the mean of its divisors is an integer number (2337650280).

Almost surely, 2120223013320 is an apocalyptic number.

120223013320 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 120223013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149609617920).

120223013320 is an abundant number, since it is smaller than the sum of its proper divisors (178996222520).

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

120223013320 is a wasteful number, since it uses less digits than its factorization.

120223013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68855 (or 68851 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 120223013320 its reverse (23310322021), we get a palindrome (143533335341).

The spelling of 120223013320 in words is "one hundred twenty billion, two hundred twenty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 83 85 124 136 155 166 170 248 310 332 340 415 527 620 664 680 830 1054 1240 1411 1660 2108 2573 2635 2822 3320 4216 5146 5270 5644 7055 10292 10540 11288 12865 14110 20584 21080 25730 28220 43741 51460 56440 68713 87482 102920 137426 174964 218705 274852 343565 349928 437410 549704 687130 874820 1168121 1374260 1749640 2130103 2336242 2748520 4260206 4672484 5703179 5840605 8520412 9344968 10650515 11406358 11681210 17040824 21301030 22812716 23362420 28515895 36211751 42602060 45625432 46724840 57031790 72423502 85204120 96954043 114063580 144847004 176798549 181058755 193908086 228127160 289694008 353597098 362117510 387816172 484770215 707194196 724235020 775632344 883992745 969540430 1414388392 1448470040 1767985490 1939080860 3005575333 3535970980 3878161720 6011150666 7071941960 12022301332 15027876665 24044602664 30055753330 60111506660 120223013320