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13202113320 = 23335111111289
BaseRepresentation
bin11000100101110100…
…00100001100101000
31021002002002211211000
430102322010030220
5204014220111240
610022011035000
7645106053204
oct142272041450
937062084730
1013202113320
115665281160
12268543ba60
131325218b96
148d353bb04
15524077430
hex312e84328

13202113320 has 128 divisors (see below), whose sum is σ = 48007728000. Its totient is φ = 3200509440.

The previous prime is 13202113261. The next prime is 13202113333. The reversal of 13202113320 is 2331120231.

13202113320 is a `hidden beast` number, since 1 + 320 + 2 + 11 + 332 + 0 = 666.

It is a super-2 number, since 2×132021133202 (a number of 21 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 = 13202113293 and 13202113302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543765 + ... + 567524.

It is an arithmetic number, because the mean of its divisors is an integer number (375060375).

Almost surely, 213202113320 is an apocalyptic number.

13202113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13202113320 is an abundant number, since it is smaller than the sum of its proper divisors (34805614680).

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

13202113320 is a wasteful number, since it uses less digits than its factorization.

13202113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111320 (or 1111310 counting only the distinct ones).

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

Adding to 13202113320 its reverse (2331120231), we get a palindrome (15533233551).

The spelling of 13202113320 in words is "thirteen billion, two hundred two million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 1111289 2222578 3333867 4445156 5556445 6667734 8890312 10001601 11112890 12224179 13335468 16669335 20003202 22225780 24448358 26670936 30004803 33338670 36672537 40006404 44451560 48896716 50008005 60009606 61120895 66677340 73345074 80012808 97793432 100016010 110017611 120019212 122241790 133354680 146690148 150024015 183362685 200032020 220035222 240038424 244483580 293380296 300048030 330052833 366725370 400064040 440070444 488967160 550088055 600096060 660105666 733450740 880140888 1100176110 1200192120 1320211332 1466901480 1650264165 2200352220 2640422664 3300528330 4400704440 6601056660 13202113320