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13203312320 = 2651112233067
BaseRepresentation
bin11000100101111101…
…01000111011000000
31021002011100202112102
430102332220323000
5204020021443240
610022052445532
7645122205632
oct142276507300
937064322472
1013203312320
115665a1aa70
1226859198a8
131325548853
148d3770a52
15524212815
hex312fa8ec0

13203312320 has 112 divisors (see below), whose sum is σ = 34337841408. Its totient is φ = 4795714560.

The previous prime is 13203312313. The next prime is 13203312341. The reversal of 13203312320 is 2321330231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13203312292 and 13203312301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4303427 + ... + 4306493.

Almost surely, 213203312320 is an apocalyptic number.

13203312320 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 13203312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17168920704).

13203312320 is an abundant number, since it is smaller than the sum of its proper divisors (21134529088).

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

13203312320 is a wasteful number, since it uses less digits than its factorization.

13203312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13203312320 its reverse (2321330231), we get a palindrome (15524642551).

It can be divided in two parts, 13203 and 312320, that added together give a palindrome (325523).

The spelling of 13203312320 in words is "thirteen billion, two hundred three million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1223 1760 2446 3067 3520 4892 6115 6134 9784 12230 12268 13453 15335 19568 24460 24536 26906 30670 33737 39136 48920 49072 53812 61340 67265 67474 78272 97840 98144 107624 122680 134530 134948 168685 195680 196288 215248 245360 269060 269896 337370 391360 430496 490720 538120 539792 674740 860992 981440 1076240 1079584 1349480 2152480 2159168 2698960 3750941 4304960 5397920 7501882 10795840 15003764 18754705 30007528 37509410 41260351 60015056 75018820 82520702 120030112 150037640 165041404 206301755 240060224 300075280 330082808 412603510 600150560 660165616 825207020 1200301120 1320331232 1650414040 2640662464 3300828080 6601656160 13203312320