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13321113200 = 2452412293547
BaseRepresentation
bin11000110100000000…
…00000111001110000
31021101101000122221222
430122000000321300
5204240201110300
610041501404212
7651052410503
oct143200007160
937341018858
1013321113200
11571646a56a
1226b9269668
131343a82805
1490527713a
1552e731785
hex31a000e70

13321113200 has 120 divisors (see below), whose sum is σ = 32937006480. Its totient is φ = 5174323200.

The previous prime is 13321113191. The next prime is 13321113209. The reversal of 13321113200 is 231112331.

It is an interprime number because it is at equal distance from previous prime (13321113191) and next prime (13321113209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3753827 + ... + 3757373.

It is an arithmetic number, because the mean of its divisors is an integer number (274475054).

Almost surely, 213321113200 is an apocalyptic number.

13321113200 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 13321113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468503240).

13321113200 is an abundant number, since it is smaller than the sum of its proper divisors (19615893280).

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

13321113200 is a wasteful number, since it uses less digits than its factorization.

13321113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3835 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13321113200 its reverse (231112331), we get a palindrome (13552225531).

The spelling of 13321113200 in words is "thirteen billion, three hundred twenty-one million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 229 328 400 410 458 656 820 916 1025 1145 1640 1832 2050 2290 3280 3547 3664 4100 4580 5725 7094 8200 9160 9389 11450 14188 16400 17735 18320 18778 22900 28376 35470 37556 45800 46945 56752 70940 75112 88675 91600 93890 141880 145427 150224 177350 187780 234725 283760 290854 354700 375560 469450 581708 709400 727135 751120 812263 938900 1163416 1418800 1454270 1624526 1877800 2326832 2908540 3249052 3635675 3755600 4061315 5817080 6498104 7271350 8122630 11634160 12996208 14542700 16245260 20306575 29085400 32490520 33302783 40613150 58170800 64981040 66605566 81226300 133211132 162452600 166513915 266422264 324905200 333027830 532844528 666055660 832569575 1332111320 1665139150 2664222640 3330278300 6660556600 13321113200